List of top Mathematics Questions on Trigonometry asked in AP EAPCET

The domain of \( f(x) = \cos^{-1}[\log_2(x^2+5x+8)] \) is:

If \( A+B+C=\pi \) and \( \cos A = \cos B \cos C \), then \( \tan A - \tan B - \tan C = \)

All the values of \(\alpha\) satisfying the equations \( 2\cos^2 \alpha - 3\cos \alpha = 32\tan^8 \theta \) and \( 3\cos 2\theta = 1 \) are:

Calculate \[ \sin\frac{8\pi}{9}\, \sin\frac{7\pi}{9}\, \sin\frac{2\pi}{3}\, \sin\frac{5\pi}{9}. \]

If \( 7\sin x + 15\sin y = 17 \), then the maximum value of \( 7\cos x + 15\cos y \) is:

The number of solutions of the trigonometric equation $\sin^2 x - \sin x - 2 = 0$ in the interval $[0, 2\pi]$ is:

The maximum value of $3 \sin x + 4 \cos x + 5$ is:

If $\tan^{-1}(x) + \tan^{-1}(y) + \tan^{-1}(z) = \frac{\pi}{2}$, then $xy + yz + zx =$

If $\sinh x = \frac{3}{4}$, then $\cosh 2x =$

In a triangle $ABC$, if $a = 13$, $b = 14$, $c = 15$, then the area of the triangle is:

If $\sin \theta + \cos \theta = \sqrt{2} \cos \theta$, then $\cos \theta - \sin \theta =$

If \[ 2 \sin 2\theta = \sqrt{3}, \] then \(\theta =\)?

Evaluate \[ \cos \frac{\pi}{12}. \]

Evaluate \[ \cos^4 \frac{\pi}{24} - \sin^4 \frac{\pi}{24}. \]

Evaluate \[ \cos \frac{7\pi}{12}. \]

Evaluate \[ \cos\theta(\cosec\theta-\sec\theta)-\cot\theta \]

The value of \[ \sin\left(\frac{5\pi}{24}\right)\cos\left(\frac{\pi}{24}\right) \] is

Evaluate \[ \frac{\sin x}{1+\cos x}+\frac{1+\cos x}{\sin x} \]

Factorize \[ 2\cot^2\theta-\cot\theta-3 \]

The value of \[ \sin(x+y)\sec x\sec y \] is

If \[ \sin\left(x+\frac{\pi}{3}\right)+\sin\left(x-\frac{\pi}{3}\right)=1, \] then the value of \(x\) in the interval \([0,\pi]\) is

In \(\triangle ABC\), if \[ 3\sin A+4\cos B=6 \] and \[ 4\sin B+3\cos A=1, \] then the angle \(C\) is

If \(\cosh(x-\log 3)=\sinh x\), then \(x=\)

Let \(x,y,z\) be real numbers and \[ x\geq y\geq z\geq \frac{\pi}{12} \] If \[ x+y+z=\frac{\pi}{2}, \] then the minimum value of \[ \cos x\sin y\cos z \] is

In a triangle \(ABC\), if \(\angle A=60^\circ\), then \((a+b+c)(b+c-a)=\)