Embibe Experts Solutions for Chapter: Introduction to Trigonometry, Exercise 1: CBSE-2019

Find the value of $\left({\sin }^2 33°+{\sin }^2 57°\right)$.

Prove that $\frac{\sin A-\cos A+1}{\sin A+\cos A-1}=\frac{1}{\sec A-\tan A}$.

$\frac{\cos 80°}{\sin 10°}+\cos 59°\mathrm{cosec} 31°=$ _____

${\sin }^2\theta +\frac{1}{1+{\tan }^2\theta }=$ _____

The value of $\left(1+{\tan }^2\theta \right)\left(1+\sin \theta \right)\left(1-\sin \theta \right)=$ _____.

The rod $AC$ of a TV disc antenna is fixed at right angles to the wall $AB$ and a rod $CD$ is supporting the disc as shown in the figure. If $AC=1.5 \mathrm{m}$ long and $CD=3 \mathrm{m}$, find $\tan \theta$.

The rod $AC$ of a TV disc antenna is fixed at right angles to the wall $AB$ and a rod $CD$ is supporting the disc as shown in the figure. If $AC=1.5 \mathrm{m}$ long and $CD=3 \mathrm{m}$, find $\sec \theta +\mathrm{cosec}\theta$

If $\sin \theta +\cos \theta =\sqrt{3}$, then prove that $\tan \theta +cot \theta =1$.

cnsnbcnsbcjksbcjb