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

What are the most general values of $\theta$ which satisfy the equations:

$cosec\theta =\frac{2}{\sqrt{3}}$

What are the most general values of $\theta$ which satisfy the following equation: $2{\cot }^2\theta ={\mathrm{cosec}}^2\theta$?

If $\cos 2\theta +3\cos \theta =0,$ then

If $\sin \theta +7\cos \theta =5,$ then $\tan \left(\frac{\theta }{2}\right)$ is a root of the equation

The complete solution of inequality ${\sec }^{2}3x<2$ is

The complete solution of inequality $2{\cos }^{2}x-7\cos x+3<0$ is

The complete solution of inequality $\cos 2x\le \cos x$ is

Which of the following set of values of $x$ satisfy the inequation ${\tan }^{2}x-(1+\sqrt{3})\tan x+\sqrt{3}<0$