List of top Mathematics Questions on Trigonometric Identities asked in JEE Advanced

Let \(\frac{\pi}{2}<x<\pi\) be such that \(\cot x=\frac{-5}{\sqrt{11}}\). Then
\((\sin\frac{11x}{2})(\sin 6x-\cos6x)+(\cos\frac{11x}{2})(\sin 6x+\cos 6x)\)
is equal to

Let $\theta \in\Bigg(0,\frac{\pi}{4}\Bigg) and t_1=(tan \theta)^{tan \theta}, t_2=(tan \theta)^{cot \theta},t_3=(cot \theta)^{tan \theta} and t_4=(cot \theta)^{cot \theta}, then$

In a $\triangle$ ABC, among the following which one is true?

The area of the equilateral triangle, in which three coins of radius 1 cm are placed, as shown in the figure, is

Given both $\theta and \phi are acute angles and sin \theta=\frac{1}{2}, cos \phi=\frac{1}{3},$ then the value of $\theta+\phi $ belongs to

The value of the expression $\sqrt{3} cosec 20^\circ -sec 20^\circ $is equal to

If $tan \theta=-\frac{4}{3},$ then $sin \theta$ is