(i) (sec A + tan A) (1 – sin A) = cos A (ii) (1 + tan2 A) (1 – sin A) (1 + sin A) = 1

Question

deepaksoniGuru

Asked: March 15, 20212021-03-15T21:45:30+05:30 2021-03-15T21:45:30+05:30In: ICSE

This is an important question taken from the Book- ML Aggarwal
Board- ICSE
Publication- Avichal
Chapter- Trigonometric Identities
Chapter number-1

We have to prove that
(i) (sec A + tan A) (1 – sin A) = cos A

(ii) (1 + tan2 A) (1 – sin A) (1 + sin A) = 1

ML Aggarwal, Icse board, chapter 18, ques no 12

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AAREKH · Answer 1 · 2021-03-16T03:30:53+05:30

AAREKH Guru

Solution:

Given,

(i) L.H.S = (sec A + tan A) (1 – sin A)

ML Aggarwal Solutions for Class 10 Chapter 18 - 11

(ii) L.H.S. = (1 + tan² A) (1 – sin A) (1 + sin A)

ML Aggarwal Solutions for Class 10 Chapter 18 - 12