Show that: 1 - sin x 1 + sin x = sec x - tan x

We have to prove that 1 - sin x 1 + sin x = sec x - tan x L . H . S . = 1 - sin x 1 + sin x = 1 - sin x 1 + sin x × 1 - sin x 1 - sin x = 1 - sin x 2 1 - sin 2 x = 1 - sin x 2 cos 2 x = 1 - sin x cos x = 1 cos x - sin x cos x = sec x - tan x = R . H . S . Hence, proved.

Show that: 1 - sin x 1 + sin x = sec x - tan x

We have to prove that 1 - sin x 1 + sin x = sec x - tan x L . H . S . = 1 - sin x 1 + sin x = 1 - sin x 1 + sin x × 1 - sin x 1 - sin x = 1 - sin x 2 1 - sin 2 x = 1 - sin x 2 cos 2 x = 1 - sin x cos x = 1 cos x - sin x cos x = sec x - tan x = R . H . S . Hence, proved.

E M B I B E

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 6 - Trigonometry>Maharashtra Board-2018>Q 2

EASY

10th Maharashtra Board

IMPORTANT

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If $\cos θ = \frac{3}{5}$ , where ‘ $θ$ ’ is an acute angle. Find the value of $\sin θ$ .

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Important Questions on Trigonometry

MEDIUM

10th Maharashtra Board

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 6 - Trigonometry>Maharashtra Board-2018>Q 3

Show that: $\sqrt{\frac{1 - \sin x}{1 + \sin x}} = \sec x - \tan x$

HARD

10th Maharashtra Board

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 6 - Trigonometry>Maharashtra Board-2018>Q 4

A tree is broken by the wind. The top of that tree struck the ground at an angle of $30 °$ and at a distance of $30 m$ from the root. Find the height of the whole tree. $(\sqrt{3} = 1.73)$