List of top Mathematics Questions on Trigonometric Functions asked in AP EAPCET

The period of the function \[ f(x)=\log(\cos x)+\cot^4\left(\frac{x}{2}\right)+\sin(3x+7) \] is

If \[ \tan\alpha=-\frac{7}{24}, \qquad \sec\beta=\frac{61}{60} \] and both \(\alpha,\beta\) lie in the same quadrant, then \[ \cos(\alpha+\beta)= \]

For \(\theta\in\left(0,\frac{\pi}{2}\right)\), if the complete range of \[ (\cot^2\theta-\cos^2\theta)(\tan^2\theta-\sin^2\theta) \] is \((\alpha,\beta]\), then \(\beta-\alpha=\)

Evaluate \[ \cos\frac{\pi}{7}\cos\frac{2\pi}{7}\cos\frac{3\pi}{7} \cos\frac{4\pi}{7}\cos\frac{5\pi}{7}\cos\frac{6\pi}{7}. \]

Evaluate: \[ \cos^2 45^\circ+\cos^2 135^\circ+\cos^2 225^\circ+\cos^2 315^\circ= \]

The value of \[ \cos^4 x \] is

Let \(a\) and \(b\) be non-negative real numbers. If \[ \sin x+a\cos x=b, \] then \[ |a\sin x-\cos x|= \] is equal to:

The value of \[ \sqrt{\sin^4x+4\cos^2x} - \sqrt{\cos^4x+4\sin^2x} \] is

The value of \[ \sin22\frac{1}{2}^{\circ} \] is

If \[ \cos\theta-\sin\theta=\sqrt{5}\sin\theta, \] then \[ \cos\theta+4\sin\theta \] is equal to:

All the pairs \((x,y)\) that satisfy the inequality \[ 2^{\sqrt{\sin^2 x-2\sin x+5}}-\frac{1}{4^{\sin y}}\leq 1 \] also satisfy the equation:

If \[ \sin\theta=-\frac{3}{4}, \] then \[ \sin2\theta= \]

If \[ \frac{1}{\sin1^\circ\sin2^\circ} + \frac{1}{\sin2^\circ\sin3^\circ} +\cdots+ \frac{1}{\sin89^\circ\sin90^\circ} = \] then its value is

Which of the following trigonometric values are negative?
\[ \text{I) } \sin(-292^\circ) \] \[ \text{II) } \tan(-193^\circ) \] \[ \text{III) } \cos(-207^\circ) \] \[ \text{IV) } \cot(-222^\circ) \]

Find the value of \[ \sin^2\frac{2\pi}{3}+\cos^2\frac{5\pi}{6}-\tan^2\frac{3\pi}{4} \]

The value of \[ \tan\left(\frac{7\pi}{8}\right) \] is