Embibe Experts Solutions for Chapter: Trigonometric Equations and Inequations, Exercise 1: KEAM 2020

The value of ${\sin }^{2}1°+{\sin }^{2}2°+{\sin }^{2}3°+\cdots +{\sin }^{2}88°+{\sin }^{2}89°$ is equal to

The value of ${\sin }^4\frac{\mathrm{\pi }}{8}+{\sin }^4\frac{3\mathrm{\pi }}{8}$ is equal to

The value of $\sin \left(45°+\mathrm{\theta }\right)-\cos \left(45°-\mathrm{\theta }\right)$ is equal to

The values of $\mathrm{x}$ in $0\le \mathrm{x}\le \mathrm{\pi }$ such that $\cos 2\mathrm{x}=\mathrm{cosx}$ are

If $\mathrm{tanx}+\mathrm{tany}=\frac{5}{6}$ and $\mathrm{cotx}+\mathrm{coty}=5$, then $\tan (\mathrm{x}+\mathrm{y})$ is

$\frac{\sin 91°+\sin 1°}{\sin 91°-\sin 1°}=$

If $x\in [0,2\pi ],y\in [0,2\pi ]$ and $\sin x+\sin y=2$ then the value of $x+y$ is

The number of solutions of $\sum _{r=1}^4\cos rx=4$ in the interval $[0,2\pi ]$ is