(i) sin A/ (1 + cos A) = (1 – cos A)/ sin A (ii) (1 – tan2 A)/ (cot2 A – 1) = tan2 A (iii) sin A/ (1 + cos A) = cosec A – cot A

Question

deepaksoniGuru

Asked: March 15, 20212021-03-15T21:58:00+05:30 2021-03-15T21:58:00+05:30In: ICSE

This is an important question taken from the Book ML Aggarwal, Avichal publication, class 10th and, chapter 18

We have to proof that

(i) sin A/ (1 + cos A) = (1 – cos A)/ sin A

(ii) (1 – tan² A)/ (cot² A – 1) = tan² A

(iii) sin A/ (1 + cos A) = cosec A – cot A

Class10th, chapter 18, ques no 15, trigonometric identities

Leave an answer

AAREKH · Answer 1 · 2021-03-16T03:26:22+05:30

AAREKH Guru

Solution:

(i) L.H.S. = sin A/ (1 + cos A)

On multiplying and dividing by (1 – cos A), we have

ML Aggarwal Solutions for Class 10 Chapter 18 - 16