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Trigonometric Identities is considered one of the most asked concept.
40 Questions around this concept.
If then for all real
The sum of all values of $\theta \epsilon(0, \pi / 2)$ satisfying $\sin ^2 2 \theta+\cos ^4 2 \theta=3 / 4$ is:
For $\alpha, \beta \in(0, \pi / 2)$, let $3 \sin (\alpha+\beta)=2 \sin (\alpha-\beta)$ and a real number $\mathrm{k}$ be such that $\tan \alpha=\mathrm{k} \tan \beta$. Then, the value of $\mathrm{k}$ is equal to
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$\sqrt{1-\sin^{2}\theta}$ equals
If $\tan \theta=\frac{4}{5}$, find $\sec \theta$ ( $\theta$ is in 4th quadrant)
$\cos ^{-1} x=\tan ^{-1} x$, then $\cos ^2 \theta=$ ?
$\operatorname{Sec}^2\left(\tan ^{-1} 2\right)+\operatorname{cosec}^2\left(\cot ^{-1} 3\right)$ is equal to
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If the perimeter of a sector of a circle, of area $25 \pi$ square cms is 20 cm , then area of a sector is
If $\frac{2 \sin \theta}{1+\sin \theta+\cos \theta}=\beta$ then $\frac{1+\sin \theta-\cos \theta}{1+\sin \theta}$ is equal to
If $\sin \theta+\sin ^2 \theta=1$, then the value of $\cos ^{12} \theta+3 \cos ^{10} \theta+3 \cos ^8 \theta+\cos ^6 \theta-1$ is equal to
Trigonometric Identities
These identities are the equations that hold true regardless of the angle being chosen.
$
\begin{aligned}
& \sin ^2 t+\cos ^2 t=1 \\
& 1+\tan ^2 t=\sec ^2 t \\
& 1+\cot ^2 t=\csc ^2 t \\
& \tan t=\frac{\sin t}{\cos t}, \quad \cot t=\frac{\cos t}{\sin t}
\end{aligned}
$
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