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Recent questions tagged cosine


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The value of \(\dfrac{\cot x}{1-\tan x}+\dfrac{\tan x}{1-\cot x}\) is:
1 answer 33 views
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:   a. \(\sec ^{2} x \cdot \operatorname{cosec}^{2} x+1\) b. \(\tan x \cdo ...
by Pieter Gold Status
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asked in Mathematics May 17
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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? ...
by MathsGee Platinum
(119,140 points)
asked in Geography & Environment Apr 23
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Calculate the value of \(\alpha\).

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Calculate the value of \(\alpha\).
1 answer 116 views
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Calculate the value of \(\alpha\). Calculate the value of \(\alpha\).   ...
by MathsGee Platinum
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asked in Mathematics Apr 17
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What are the derivatives of sine and cosine functions?
1 answer 65 views
What are the derivatives of sine and cosine functions?What are the derivatives of sine and cosine functions? ...
by MathsGee Platinum
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asked in Mathematics Apr 6
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What is the Cosine Formula?
1 answer 45 views
What is the Cosine Formula?What is the Cosine Formula? ...
by Pieter Gold Status
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asked in Mathematics Apr 1
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If \(\sin \theta+\cos \theta=1\), then what is the value of \(\theta\left(0^{\circ}<\theta<90^{\circ}\right)\) ?
0 answers 186 views
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How do I differentiate \( \dfrac{\sin x \cdot \cos x}{\sin 2 x^2} ?\)
1 answer 130 views
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What is a parametric curve?
1 answer 69 views
What is a parametric curve?What is a parametric curve? ...
by Pieter Gold Status
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asked in Mathematics Feb 4
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A cup of coffee, cooling off in a room at temperature \(20^{\circ} \mathrm{C}\), has cooling constant \(k=0.09 \mathrm{~min}^{-1} .\)
0 answers 73 views
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Evaluate $\lim _{x \rightarrow 0} \dfrac{e^{x^{2}}-1}{\cos (2 x)-1}=$
0 answers 41 views
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 ...
by MathsGee Platinum
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asked in Mathematics Jan 13
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Let $x^{2}+2 x \arctan y=y \cos x$. Find $y^{\prime}$ at $\left(\dfrac{\pi}{2},-1\right)$.
0 answers 47 views
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Find $\lim _{x \rightarrow 0}(1-\sin x)^{\frac{3}{x}}$
0 answers 52 views
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Which of the following substitutions is most appropriate to evaluate $$ \int \frac{x^{4}}{\sqrt{x^{2}-1}} d x ? $$
0 answers 45 views
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 ...
by MathsGee Platinum
(119,140 points)
asked in Mathematics Jan 13
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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 \(\cos A \cos B=\frac{1}{2}(\cos (A+B)+\cos (A-B))\) ...
by MathsGee Platinum
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asked in Mathematics Jan 13
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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
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Define Laplace transform involving the unit step function and cosine
1 answer 48 views
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Define Laplace transform involving the unit step function, cosine, and an exponential
1 answer 81 views
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Show that \(\{(\cos t, \sin t): t \in \mathbb{R}\}=\left\{(x, y): x^{2}+y^{2}=1\right\}\).
1 answer 56 views
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Given that A=38,2° and B=146,4°. Calculate the value of: sin2A - cos¼B

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Given that A=38,2° and B=146,4°. What is the value of the following expression: 3sin²A

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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: \(\frac{\sin x}{1+\cos x}=\frac{1-\cos x}{\sin x}\) ...
by ernabiss Wooden Status
(198 points)
asked in Mathematics Sep 21, 2021
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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;\(\dfrac{\sin 30^{\circ} \times \tan 60^{\circ}}{\tan 30^{\circ} \times \cos 60^{\circ}}=3\) ...
by MathsGee Platinum
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asked in Mathematics Sep 12, 2021
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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^ ...
by MathsGee Platinum
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asked in Mathematics Sep 12, 2021
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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. \(\frac{\sqrt{2}}{2}\) ...
by Siyavula Bronze Status
(7,476 points)
asked in Mathematics Sep 11, 2021
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Integrate \(\int \tan ^{2} x \sec x d x\) for $x$
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 $x$ ...
by Siyavula Bronze Status
(7,476 points)
asked in Mathematics Sep 11, 2021
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How would you differentiate \(\cos x \sin x ?\)
1 answer 60 views
How would you differentiate \(\cos x \sin x ?\)How would you differentiate \(\cos x \sin x ?\) ...
by MathsGee Platinum
(119,140 points)
asked in Mathematics Sep 10, 2021
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How would you differentiate \(\cos z+\csc z ?\)
1 answer 59 views
How would you differentiate \(\cos z+\csc z ?\)How would you differentiate \(\cos z+\csc z ?\) ...
by MathsGee Platinum
(119,140 points)
asked in Mathematics Sep 10, 2021
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Prove the identity $\frac{\cos \alpha}{\sin \alpha} \cdot \frac{1}{\cos ^{2} \alpha} \cdot \sin ^{2} \alpha=\tan \alpha$
1 answer 300 views
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Prove that $\tan \lambda \cdot \cos \lambda=\sin \lambda$
1 answer 170 views
Prove that $\tan \lambda \cdot \cos \lambda=\sin \lambda$Prove that $\tan \lambda \cdot \cos \lambda=\sin \lambda$ ...
by Siyavula Bronze Status
(7,476 points)
asked in Mathematics Aug 28, 2021
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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 $1-\sin ^{4} \alpha=\cos ^{2} \alpha\left(1+\sin ^{2} \alpha\right)$ ...
by Siyavula Bronze Status
(7,476 points)
asked in Mathematics Aug 28, 2021
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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 $\tan ^{2} \beta\left(1+\dfrac{1}{\tan ^{2} \beta}\right)$ ...
by Siyavula Bronze Status
(7,476 points)
asked in Mathematics Aug 28, 2021
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Simplify $\frac{\cos ^{2} \alpha}{\sin ^{2} \alpha}\left(\frac{1}{\cos ^{2} \alpha}-1\right)$
1 answer 217 views
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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 $\sin x\left(\cot ^{2} x+1\right)$ ...
by Siyavula Bronze Status
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asked in Mathematics Aug 28, 2021
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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 $\sin \theta(\csc \theta-\sin \theta)=\cos ^{2} \theta$ ...
by Siyavula Bronze Status
(7,476 points)
asked in Mathematics Aug 28, 2021
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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 $2-\sec ^{2} \theta=1-\tan ^{2} \theta$ ...
by Siyavula Bronze Status
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asked in Mathematics Aug 28, 2021
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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 $\tan ^{2} x\left(\csc ^{2} x-1\right)=1$ ...
by Siyavula Bronze Status
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asked in Mathematics Aug 28, 2021
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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 $\cos ^{2} \theta-\sin ^{2} \theta=1-2 \sin ^{2} \theta$ ...
by Siyavula Bronze Status
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asked in Mathematics Aug 28, 2021
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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 $-\sin (-x) \cos (-x) \tan x \csc x=\sin x$ ...
by Siyavula Bronze Status
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asked in Mathematics Aug 28, 2021
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Show that $\frac{\sec \alpha}{\tan \alpha}=\csc \alpha$
1 answer 81 views
Show that $\frac{\sec \alpha}{\tan \alpha}=\csc \alpha$Show that $\dfrac{\sec \alpha}{\tan \alpha}=\csc \alpha$ ...
by Siyavula Bronze Status
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asked in Mathematics Aug 28, 2021
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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 $\frac{\sin ^{2} x+\cos ^{2} x}{\sin x}$ ...
by Siyavula Bronze Status
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asked in Mathematics Aug 28, 2021
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Simplify $\sin x \cot x$
1 answer 91 views
Simplify $\sin x \cot x$Simplify $\sin x \cot x$ ...
by Siyavula Bronze Status
(7,476 points)
asked in Mathematics Aug 28, 2021
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Solve $ 2 \tan ^{2} x=\sec ^{2} x $ for values of $x$ in the interval $0 \leq x<2 \pi$.
1 answer 120 views
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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 $\cos 75^{\circ}$. ...
by Siyavula Bronze Status
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asked in Mathematics Aug 28, 2021
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Prove: $\tan x+\cot x=\sec x \csc x$
1 answer 198 views
Prove: $\tan x+\cot x=\sec x \csc x$Prove: $\tan x+\cot x=\sec x \csc x$ ...
by Siyavula Bronze Status
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asked in Mathematics Aug 28, 2021
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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: $\tan x+\cos x=\sin x(\sec x+\cot x)$ ...
by Siyavula Bronze Status
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asked in Mathematics Aug 28, 2021
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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: $\sin \theta \cot \theta=\cos \theta$. ...
by Siyavula Bronze Status
(7,476 points)
asked in Mathematics Aug 28, 2021
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Multiply $(\sin \theta+2)(\sin \theta-5)$.
1 answer 61 views
Multiply $(\sin \theta+2)(\sin \theta-5)$.Multiply $(\sin \theta+2)(\sin \theta-5)$. ...
by Siyavula Bronze Status
(7,476 points)
asked in Mathematics Aug 28, 2021
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Add $\frac{1}{\sin \theta}+\frac{1}{\cos \theta} .$
1 answer 81 views
Add $\frac{1}{\sin \theta}+\frac{1}{\cos \theta} .$Add $\frac{1}{\sin \theta}+\frac{1}{\cos \theta} .$ ...
by Siyavula Bronze Status
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asked in Mathematics Aug 28, 2021
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Write sec $\theta$ tan $\theta$ in terms of $\sin \theta$ and $\cos \theta$, and then simplify.
1 answer 279 views
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