List of top Mathematics Questions on Trigonometric Identities

If \( (\cos x)^y = (\sin y)^x \) then \( \frac{dy}{dx} \) is:

If \(2\sin2\theta=\sqrt3\), where 0 ≤ 2θ ≤ 90°, then find the value of cos 3θ

The value of \(\sin \theta\) or \(cosθ\) never exceeds

If \(A=\frac {\pi}{4}\), then \((1+tanA) (1+tan^2A) (+tan^3A)=\)

Let $S =\left\{\theta \in[0,2 \pi]: 8^{2 \sin ^2 \theta}+8^{2 \cos ^2 \theta}=16\right\} $ Then $ n ( S )+\displaystyle\sum_{\theta \in S }\left(\sec \left(\frac{\pi}{4}+2 \theta\right) \operatorname{cosec}\left(\frac{\pi}{4}+2 \theta\right)\right)$ is equal to: