Advertisement Remove all ads

# Prove the Following Trigonometric Identities. Sin Theta/(1 - Cos Theta) = Cosec Theta + Cot Theta - Mathematics

Advertisement Remove all ads
Advertisement Remove all ads
Advertisement Remove all ads

Prove the following trigonometric identities.

sin theta/(1 - cos theta) =  cosec theta + cot theta

Advertisement Remove all ads

#### Solution

We have to prove  sin theta/(1 - cos theta) = cosec theta + cot theta

We know that sin^2 theta = cos^2 theta = 1

sin theta/(1 - cos theta) = (sin theta (1 + cos theta))/(1 - cos^2 theta)

= (sin theta (1 +  cos theta))/(1 -  cos^2 theta)

= (sin theta (1 + cos theta))/(sin^2 theta)

= (1 + cos theta)/sin theta

= 1/sin theta + cos theta/sin theta

= cosec theta  + cot theta`

Concept: Trigonometric Identities
Is there an error in this question or solution?

#### APPEARS IN

RD Sharma Class 10 Maths
Chapter 11 Trigonometric Identities
Exercise 11.1 | Q 13 | Page 44

#### Video TutorialsVIEW ALL [6]

Advertisement Remove all ads
Share
Notifications

View all notifications

Forgot password?