Embibe Experts Solutions for Chapter: Trigonometry, Exercise 1: Exercise

$1-\frac{{\sin }^2\theta }{1+\cos \theta }=$

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

Prove that $\frac{\sin \theta }{\mathrm{cosec}\theta }+\frac{\cos \theta }{\sec \theta }=1$.

$\left(1+{\cot }^2 \theta \right)\left(1-\cos \theta \right)\left(1+\cos \theta \right)=$

In triangle ABC, of $\angle A=90°, \angle C=30°, BC=10 cm$ then, find $AB$ and $AC$?

Which of the following cannot be done with the help of theodolite in surveying?

The angle of elevation of the top of the building from the foot of the tower is $30°$ and the angle of the top of the tower from the foot of the building is $60°$. If the tower is $50 \mathrm{m}$ high, find the height of the building.

Draw the diagram for the given information.

A man sees the top of a tower in a mirror which is at a distance of 87.6 m. from the tower. The mirror is on the ground , facing upward . The man is 0.4 m away from the mirror, and the distance of his eye level from the ground is 1.5m. (The foot of man , the mirror and the foot of the tower lie along a straight line.)