List of top Mathematics Questions on Trigonometry asked in AP ECET Ceramic Tech

If \[ \sin^{-1}\frac{5}{x}+\sin^{-1}\frac{12}{x}=\frac{\pi}{2}, \] then \(x=\)

If \(\tan A=\frac{1}{2}\) and \(\tan B=\frac{1}{3}\), then \(A+B=\)

If \(2\sin^{-1}x=\sin^{-1}k\), then \(k=\)

\[ \tan^{-1}1+\tan^{-1}2+\tan^{-1}3= \]

\[ \cos 6^\circ \sin 24^\circ \cos 72^\circ= \]

\[ \tan 9^\circ-\tan 27^\circ-\tan 63^\circ+\tan 81^\circ= \]

If \( \cos\theta=\frac{1}{2}\left(a+\frac{1}{a}\right) \), then \(4\cos^3\theta-3\cos\theta=\)

If \( \tan\theta+\sec\theta=\sqrt{3} \), then the principal value of \( \theta \) in \( [0,2\pi] \) is

\[ \frac{\tan x-1+\sec x}{\tan x-\sec x+1} = \]

The number of solutions of the equation \( \sin 2x-\cos 2x=2-\sin 2x \) lying in the interval \( [0,\pi] \) is

If \(\sin5x+\sin3x+\sin x=0\), then the value of \(x\) other than zero lying between \(0\leq x\leq \frac{\pi}{2}\) is

The general solution of the equation \(\tan^2x=1\) is

The value of \(\cos\frac{5\pi}{17}+\cos\frac{7\pi}{17}+2\cos\frac{11\pi}{17}\cos\frac{\pi}{17}\) is

If \(\sin\theta-\cos\theta=\frac{4}{5}\), then the value of \(\sin\theta+\cos\theta=\)

For real \(x\), if \(x+\frac{1}{x}=2\cos\theta\), then \(\cos\theta\) is

\(\sin^6\theta+\cos^6\theta+3\sin^2\theta\cos^2\theta=\)

The maximum value of \(3\cos\theta+4\sin\theta\) is

If \(5\sin\theta=4\), then the value of \(\frac{\cosec\theta-\cot\theta}{\cosec\theta+\cot\theta}\) is

If \(\sin\theta=\frac{3}{5}\), then \(\cos\theta=\)

If \(\cos\theta\cosec\theta=-1\) and \(\theta\) lies in the second quadrant, then \(\cos\theta=\)

The value of \(\cos\frac{5\pi}{17}+\cos\frac{7\pi}{17}+2\cos\frac{11\pi}{17}\cos\frac{\pi}{17}\) is

If \(\sin\theta-\cos\theta=\frac{4}{5}\), then the value of \(\sin\theta+\cos\theta=\)

\(\sin^6\theta+\cos^6\theta+3\sin^2\theta\cos^2\theta=\)

The maximum value of \(3\cos\theta+4\sin\theta\) is

If \(\sin5x+\sin3x+\sin x=0\), then the value of \(x\) other than zero lying between \(0\leq x\leq \frac{\pi}{2}\) is