List of top Mathematics Questions on Trigonometry asked in KEAM

The value of \( \frac{\sqrt{3}}{\sin 15^\circ} - \frac{1}{\cos 15^\circ} \) is equal to:

If \( \sin x + \cos x = \sqrt{2} \), then the value of \( \sin x \cos x \) is equal to:

If \( \tan \theta = \frac{1}{2} \) and \( \tan \phi = \frac{1}{3} \), then the value of \( \tan(2\theta + \phi) \) is:

If \( 0 \le x \le 2\pi \), then the number of solutions of the equation \( \sin^8 x + \cos^8 x = 1 \) is

If \( \cos^{-1}x > \sin^{-1}x \), then \(x\) lies in the interval

If \( \cos^{-1}x + \cos^{-1}y = \frac{2\pi}{7} \), then the value of \( \sin^{-1}x + \sin^{-1}y \) is equal to

\( 2\tan^{-1}\left(\frac{1}{3}\right) + \tan^{-1\left(\frac{1}{4}\right) = \)}

If \( \sin(\theta+\phi) = n \sin(\theta-\phi), \; n \neq 1 \), then the value of \( \frac{\tan\theta}{\tan\phi} \) is

The period of the function \( f(x) = \cos 4x + \tan 3x \) is

The value of \( \tan 15^\circ + \tan 75^\circ \) is equal to

If \( x = 5 + 2\sec \theta \) and \( y = 5 + 2\tan \theta \), then \( (x-5)^2 - (y-5)^2 \) is equal to

If \( \tan \frac{\theta}{2} = \frac{1}{2} \), then the value of \( \sin \theta \) is

Let \( \theta \in [0, \frac{\pi}{2}] \). Which one of the following is true?

Let \( \theta \in [0, \frac{\pi}{2}] \). Which one of the following is true?

Let \( \theta \in [0, \frac{\pi}{2}] \). Which one of the following is true?