List of top Mathematics Questions on Trigonometric Identities asked in AP EAMCET

Evaluate the expression: \[ \sin^2 76^\circ + \sin^2 16^\circ - \sin 76^\circ \sin 16^\circ \]
The smallest positive value (in degrees) of \( \theta \) for which \( \tan(\theta + 100^\circ) = \tan(\theta + 50^\circ) \tan(\theta - 50^\circ) \) is valid, is:
Evaluate: \[ \tan^{-1} 2 + \tan^{-1} 3 \]
In a triangle ABC, if \( r_1 = 2r_2 = 3r_3 \), then \(\sin A\): \(\sin B\): \(\sin C\) = Options:
The general solution of \( 2 \cos^2 x - 2 \tan x + 1 = 0 \) is:
Evaluate the expression: \[ \tan 6^\circ \tan 42^\circ \tan 66^\circ \tan 78^\circ \]
The general solution of \( 4 \cos 2x - 4 \sqrt{3} \sin 2x + \cos 3x - \sqrt{3} \sin 3x + \cos x - \sqrt{3} \sin x = 0 \) is:
The maximum value of \[ 12 \sin x - 5 \cos x + 3 \] is:
Evaluate: \[ \cosh^{-1} 2 \]
In \( \triangle ABC \), evaluate: \[ \cos A + \cos B + \cos C \]

The value of \( \cosh \left( \sin^{-1} \left( \sqrt{8} \right) + \cosh^{-1} 5 \right) \) is:

The value of \( 5 \cos \theta + 3 \cos \left( \theta + \frac{\pi}{3} \right) + 3 \) lies between:
Evaluate: \[ \tan \alpha + 2 \tan 2\alpha + 4 \tan 4\alpha + 8 \cot 8\alpha. =\]
Statement (S1): \( \sin 55^\circ + \sin 53^\circ - \sin 19^\circ - \sin 17^\circ = \cos 2^\circ \)
Statement (S2): The range of \( \frac{1}{3 - \cos 2x} \) is \( \left[ \frac{1}{4}, \frac{1}{2} \right] \) Which one of the following is correct?
Find the value of \( x \) satisfying: \[ 1 + \sin x + \sin^2 x + \sin^3 x + \dots = 4 + 2\sqrt{3} \] where \( 0x\pi, x \neq \frac{\pi}{2} \).
The value of
\[ \frac{\sin\theta+\sin3\theta}{\cos\theta+\cos3\theta} \] is
If
\[ (1+\tan1^\circ)(1+\tan2^\circ)\cdots(1+\tan45^\circ)=2^n, \] then \(n=\)
The value of
\[ \frac{\cos\theta}{1-\tan\theta}+\frac{\sin\theta}{1-\cot\theta} \] is
If the identity
\[ \cos^4\theta=a\cos4\theta+b\cos2\theta+c \] holds for some \(a,b,c\in \mathbb{Q}\), then \((a,b,c)=\)
In $\Delta ABC. a^3 . \cos (B - C) + b^3 . \cos(C - A) + c^3 . \cos (A - B) = $