Embibe Experts Solutions for Chapter: Trigonometric Equations and Inequations, Exercise 1: Exercise 1

Number of solutions of $\sin 5x+\sin 3x+\sin x=0$ for $0\le x\le \pi$ is

The general solution of $\cos x \cos 6x=-1$ is

Number of roots of ${\cos }^{2}x+\frac{\sqrt{3}+1}{2}\sin x-\frac{\sqrt{3}}{4}-1=0$ which lie in the interval $[-\pi , \pi ]$ is

The complete solution of $7{\cos }^{2}x+\sin x\cos x-3=0$ is given by

If $\cos 3x+\sin \left(2x-\frac{7\pi }{6}\right)=-2,$ then $x$ is equal to $(k\in Z)$

The smallest positive $x$ satisfying the equation ${\log }_{\cos x}\sin x+{\log }_{\sin x}\cos x=2$ is

The general solution of the equaiton ${\sin }^{100}x-{\cos }^{100}x=1$ is

If $4{\sin }^2\theta =1,$ where $0<\theta <2\pi ,$ how many values does $\theta$ take$?$