# Recent questions tagged cosine

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The value of $\dfrac{\cot x}{1-\tan x}+\dfrac{\tan x}{1-\cot x}$ is:
The value of $\dfrac{\cot x}{1-\tan x}+\dfrac{\tan x}{1-\cot x}$ is:The value of $\dfrac{\cot x}{1-\tan x}+\dfrac{\tan x}{1-\cot x}$ is: &nbsp; a. $\sec ^{2} x \cdot \operatorname{cosec}^{2} x+1$ b. $\tan x \cdo ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 Did climate change cause the dust bowl? 0 answers 39 views Did climate change cause the dust bowl?Did climate change cause the dust bowl? ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 Calculate the value of \(\alpha$.
Calculate the value of $\alpha$. Calculate the value of $\alpha$. &nbsp; ...
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What are the derivatives of sine and cosine functions?
What are the derivatives of sine and cosine functions?What are the derivatives of sine and cosine functions? ...
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What is the Cosine Formula?
What is the Cosine Formula?What is the Cosine Formula? ...
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If $\sin \theta+\cos \theta=1$, then what is the value of $\theta\left(0^{\circ}<\theta<90^{\circ}\right)$ ?
If $\sin \theta+\cos \theta=1$, then what is the value of $\theta\left(0^{\circ}<\theta<90^{\circ}\right)$ ?If $\sin \theta+\cos \theta=1$, then what is the value of $\theta\left(0^{\circ}&lt;\theta&lt;90^{\circ}\right)$ ? ...
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How do I differentiate $\dfrac{\sin x \cdot \cos x}{\sin 2 x^2} ?$
How do I differentiate $\dfrac{\sin x \cdot \cos x}{\sin 2 x^2} ?$How do I differentiate $\dfrac{\sin x \cdot \cos x}{\sin 2 x^2} ?$ ...
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What is a parametric curve?
What is a parametric curve?What is a parametric curve? ...
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A cup of coffee, cooling off in a room at temperature $20^{\circ} \mathrm{C}$, has cooling constant $k=0.09 \mathrm{~min}^{-1} .$
A cup of coffee, cooling off in a room at temperature $20^{\circ} \mathrm{C}$, has cooling constant $k=0.09 \mathrm{~min}^{-1} .$(a) How fast is the coffee cooling (in degrees per minute) when its temperature is $T=80^{\circ} \mathrm{C} ?$ (b) Use linear approximation to estim ...
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Evaluate $\lim _{x \rightarrow 0} \dfrac{e^{x^{2}}-1}{\cos (2 x)-1}=$
Evaluate $\lim _{x \rightarrow 0} \dfrac{e^{x^{2}}-1}{\cos (2 x)-1}=$Evaluate $\lim _{x \rightarrow 0} \dfrac{e^{x^{2}}-1}{\cos (2 x)-1}=$ &nbsp; A. $-1$ B. $-\frac{1}{2}$ C. 0 D. $\quad 1$ E. 2 ...
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Let $x^{2}+2 x \arctan y=y \cos x$. Find $y^{\prime}$ at $\left(\dfrac{\pi}{2},-1\right)$.
Let $x^{2}+2 x \arctan y=y \cos x$. Find $y^{\prime}$ at $\left(\dfrac{\pi}{2},-1\right)$.Let $x^{2}+2 x \arctan y=y \cos x$. Find $y^{\prime}$ at $\left(\dfrac{\pi}{2},-1\right)$. ...
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Find $\lim _{x \rightarrow 0}(1-\sin x)^{\frac{3}{x}}$
Find $\lim _{x \rightarrow 0}(1-\sin x)^{\frac{3}{x}}$Find $\lim _{x \rightarrow 0}(1-\sin x)^{\frac{3}{x}}$ ...
Which of the following substitutions is most appropriate to evaluate $$\int \frac{x^{4}}{\sqrt{x^{2}-1}} d x ?$$
Which of the following substitutions is most appropriate to evaluate $$\int \frac{x^{4}}{\sqrt{x^{2}-1}} d x ?$$Which of the following substitutions is most appropriate to evaluate $$\int \frac{x^{4}}{\sqrt{x^{2}-1}} d x ?$$ A. $\quad x=\sqrt{u}$ B. \quad x ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 Derive the formula $\cos A \cos B=\frac{1}{2}(\cos (A+B)+\cos (A-B))$ 0 answers 57 views Derive the formula $\cos A \cos B=\frac{1}{2}(\cos (A+B)+\cos (A-B))$Derive the formula $\cos A \cos B=\frac{1}{2}(\cos (A+B)+\cos (A-B))$ ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 Derive the following identities by putting $C=A+B$ and $D=A-B$ (and expressing $A$ and $B$ in terms of $C$ and $D)$ 0 answers 36 views Derive the following identities by putting $C=A+B$ and $D=A-B$ (and expressing $A$ and $B$ in terms of $C$ and $D)$Derive the following identities by putting $C=A+B$ and $D=A-B$ (and expressing $A$ and $B$ in terms of $C$ and $D)$ \ \begin{aligned} &am ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 Define Laplace transform involving the unit step function and cosine 1 answer 48 views Define Laplace transform involving the unit step function and cosineDefine Laplace transform involving the unit step function and cosine ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 Define Laplace transform involving the unit step function, cosine, and an exponential 1 answer 81 views Define Laplace transform involving the unit step function, cosine, and an exponentialDefine Laplace transform involving the unit step function, cosine, and an exponential ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 Show that $\{(\cos t, \sin t): t \in \mathbb{R}\}=\left\{(x, y): x^{2}+y^{2}=1\right\}$. 1 answer 56 views Show that $\{(\cos t, \sin t): t \in \mathbb{R}\}=\left\{(x, y): x^{2}+y^{2}=1\right\}$.Show that $\{(\cos t, \sin t): t \in \mathbb{R}\}=\left\{(x, y): x^{2}+y^{2}=1\right\}$. ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 Given that A=38,2° and B=146,4°. Calculate the value of: sin2A - cos¼B 0 answers 116 views close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 Given that A=38,2° and B=146,4°. What is the value of the following expression: 3sin²A 0 answers 102 views close 0 answers 108 views A learner did a project on climate change At 14: 00 each day, she record ed the temperature (in $\left.{ }^{\circ} \mathrm{C}\right)$ for a certain town. The information is given in the frequency table below. A learner did a project on climate change At 14: 00 each day, she record ed the temperature (in $\left.{ }^{\circ} \mathrm{C}\right)$ for a certai ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 Proof the identity: $\frac{\sin x}{1+\cos x}=\frac{1-\cos x}{\sin x}$ 1 answer 102 views Proof the identity: $\frac{\sin x}{1+\cos x}=\frac{1-\cos x}{\sin x}$Proof the identity: $\frac{\sin x}{1+\cos x}=\frac{1-\cos x}{\sin x}$ ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 Is $\dfrac{\sin 30^{\circ} \times \tan 60^{\circ}}{\tan 30^{\circ} \times \cos 60^{\circ}}=3$ 1 answer 197 views Is $\dfrac{\sin 30^{\circ} \times \tan 60^{\circ}}{\tan 30^{\circ} \times \cos 60^{\circ}}=3$Is &nbsp;$\dfrac{\sin 30^{\circ} \times \tan 60^{\circ}}{\tan 30^{\circ} \times \cos 60^{\circ}}=3$ ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 Solve the equation : $2 \cos ^{2} \theta-5 \cos \theta=3 ; 0^{\circ} \leq \theta \leq 360^{\circ}$ 1 answer 190 views Solve the equation : $2 \cos ^{2} \theta-5 \cos \theta=3 ; 0^{\circ} \leq \theta \leq 360^{\circ}$(a) If ${ }^{k} P_{2}=72$, find the value of $k$. (b) Solve the equation : $2 \cos ^{2} \theta-5 \cos \theta=3 ; 0^{\circ} \leq \theta \leq 360^ ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 Express \(\cos 150^{\circ}$ in surd form. 1 answer 84 views Express $\cos 150^{\circ}$ in surd form.Express $\cos 150^{\circ}$ in surd form. A. $-\sqrt{3}$ B. $-\frac{\sqrt{3}}{2}$ C. $-\frac{1}{2}$ D. $\frac{\sqrt{2}}{2}$ ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 Integrate $\int \tan ^{2} x \sec x d x$ forx$1 answer 107 views Integrate $\int \tan ^{2} x \sec x d x$ for$x$Integrate $\int \tan ^{2} x \sec x d x$ for$x$... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 How would you differentiate $\cos x \sin x ?$ 1 answer 60 views How would you differentiate $\cos x \sin x ?$How would you differentiate $\cos x \sin x ?$ ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 How would you differentiate $\cos z+\csc z ?$ 1 answer 59 views How would you differentiate $\cos z+\csc z ?$How would you differentiate $\cos z+\csc z ?$ ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 Prove the identity$\frac{\cos \alpha}{\sin \alpha} \cdot \frac{1}{\cos ^{2} \alpha} \cdot \sin ^{2} \alpha=\tan \alpha$1 answer 300 views Prove the identity$\frac{\cos \alpha}{\sin \alpha} \cdot \frac{1}{\cos ^{2} \alpha} \cdot \sin ^{2} \alpha=\tan \alpha$Prove the identity$\frac{\cos \alpha}{\sin \alpha} \cdot \frac{1}{\cos ^{2} \alpha} \cdot \sin ^{2} \alpha=\tan \alpha$... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 Prove that$\tan \lambda \cdot \cos \lambda=\sin \lambda$1 answer 170 views Prove that$\tan \lambda \cdot \cos \lambda=\sin \lambda$Prove that$\tan \lambda \cdot \cos \lambda=\sin \lambda$... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 Prove that$1-\sin ^{4} \alpha=\cos ^{2} \alpha\left(1+\sin ^{2} \alpha\right)$1 answer 200 views Prove that$1-\sin ^{4} \alpha=\cos ^{2} \alpha\left(1+\sin ^{2} \alpha\right)$Prove that$1-\sin ^{4} \alpha=\cos ^{2} \alpha\left(1+\sin ^{2} \alpha\right)$... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 Simplify$\tan ^{2} \beta\left(1+\frac{1}{\tan ^{2} \beta}\right)$1 answer 95 views Simplify$\tan ^{2} \beta\left(1+\frac{1}{\tan ^{2} \beta}\right)$Simplify$\tan ^{2} \beta\left(1+\dfrac{1}{\tan ^{2} \beta}\right)$... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 Simplify$\frac{\cos ^{2} \alpha}{\sin ^{2} \alpha}\left(\frac{1}{\cos ^{2} \alpha}-1\right)$1 answer 217 views Simplify$\frac{\cos ^{2} \alpha}{\sin ^{2} \alpha}\left(\frac{1}{\cos ^{2} \alpha}-1\right)$Simplify$\dfrac{\cos ^{2} \alpha}{\sin ^{2} \alpha}\left(\dfrac{1}{\cos ^{2} \alpha}-1\right)$... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 Simplify the expression$\sin x\left(\cot ^{2} x+1\right)$1 answer 98 views Simplify the expression$\sin x\left(\cot ^{2} x+1\right)$Simplify the expression$\sin x\left(\cot ^{2} x+1\right)$... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 Show that$\sin \theta(\csc \theta-\sin \theta)=\cos ^{2} \theta$1 answer 344 views Show that$\sin \theta(\csc \theta-\sin \theta)=\cos ^{2} \theta$Show that$\sin \theta(\csc \theta-\sin \theta)=\cos ^{2} \theta$... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 Verify that$2-\sec ^{2} \theta=1-\tan ^{2} \theta$1 answer 62 views Verify that$2-\sec ^{2} \theta=1-\tan ^{2} \theta$Verify that$2-\sec ^{2} \theta=1-\tan ^{2} \theta$... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 Verify that$\tan ^{2} x\left(\csc ^{2} x-1\right)=1$1 answer 80 views Verify that$\tan ^{2} x\left(\csc ^{2} x-1\right)=1$Verify that$\tan ^{2} x\left(\csc ^{2} x-1\right)=1$... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 Verify that$\cos ^{2} \theta-\sin ^{2} \theta=1-2 \sin ^{2} \theta$1 answer 283 views Verify that$\cos ^{2} \theta-\sin ^{2} \theta=1-2 \sin ^{2} \theta$Verify that$\cos ^{2} \theta-\sin ^{2} \theta=1-2 \sin ^{2} \theta$... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 Verify that$-\sin (-x) \cos (-x) \tan x \csc x=\sin x$1 answer 71 views Verify that$-\sin (-x) \cos (-x) \tan x \csc x=\sin x$Verify that$-\sin (-x) \cos (-x) \tan x \csc x=\sin x$... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 Show that$\frac{\sec \alpha}{\tan \alpha}=\csc \alpha$1 answer 81 views Show that$\frac{\sec \alpha}{\tan \alpha}=\csc \alpha$Show that$\dfrac{\sec \alpha}{\tan \alpha}=\csc \alpha$... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 Simplify$\frac{\sin ^{2} x+\cos ^{2} x}{\sin x}$1 answer 115 views Simplify$\frac{\sin ^{2} x+\cos ^{2} x}{\sin x}$Simplify$\frac{\sin ^{2} x+\cos ^{2} x}{\sin x}$... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 Simplify$\sin x \cot x$1 answer 91 views Simplify$\sin x \cot x$Simplify$\sin x \cot x$... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 Solve$ 2 \tan ^{2} x=\sec ^{2} x $for values of$x$in the interval$0 \leq x<2 \pi$. 1 answer 120 views Solve$ 2 \tan ^{2} x=\sec ^{2} x $for values of$x$in the interval$0 \leq x<2 \pi$.Solve$ 2 \tan ^{2} x=\sec ^{2} x $for values of$x$in the interval$0 \leq x&lt;2 \pi$. ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 Find the exact value for$\cos 75^{\circ}$. 1 answer 87 views Find the exact value for$\cos 75^{\circ}$.Find the exact value for$\cos 75^{\circ}$. ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 Prove:$\tan x+\cot x=\sec x \csc x$1 answer 198 views Prove:$\tan x+\cot x=\sec x \csc x$Prove:$\tan x+\cot x=\sec x \csc x$... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 Prove:$\tan x+\cos x=\sin x(\sec x+\cot x)$1 answer 106 views Prove:$\tan x+\cos x=\sin x(\sec x+\cot x)$Prove:$\tan x+\cos x=\sin x(\sec x+\cot x)$... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 Verify the identity:$\sin \theta \cot \theta=\cos \theta$. 1 answer 227 views Verify the identity:$\sin \theta \cot \theta=\cos \theta$.Verify the identity:$\sin \theta \cot \theta=\cos \theta$. ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 Multiply$(\sin \theta+2)(\sin \theta-5)$. 1 answer 61 views Multiply$(\sin \theta+2)(\sin \theta-5)$.Multiply$(\sin \theta+2)(\sin \theta-5)$. ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 Add$\frac{1}{\sin \theta}+\frac{1}{\cos \theta} .$1 answer 81 views Add$\frac{1}{\sin \theta}+\frac{1}{\cos \theta} .$Add$\frac{1}{\sin \theta}+\frac{1}{\cos \theta} .$... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 Write sec$\theta$tan$\theta$in terms of$\sin \theta$and$\cos \theta$, and then simplify. 1 answer 279 views Write sec$\theta$tan$\theta$in terms of$\sin \theta$and$\cos \theta$, and then simplify.Write sec$\theta$tan$\theta$in terms of$\sin \theta$and$\cos \theta\$, and then simplify. ...