please solve this question
Share
Sign Up to our social questions and Answers Engine to ask questions, answer people’s questions, and connect with other people.
Login to our social questions & Answers Engine to ask questions answer people’s questions & connect with other people.
Question :-
(tan θ + sec θ - 1)/(tan θ - sec θ + 1) = (1 + sin θ)/cos θ
Solution :-
Consider LHS
Substituting 1 = sec² θ - tan² θ in the numerator
Expanding (sec² θ - tan² θ)
[ Because, x² - y² = (x + y)(x - y) ]
Taking (sec θ + tan θ) common in numerator
Rearranging the terms in denominator
[ Because, sec θ = 1/cos θ and tan θ = sin θ/cos θ ]
= RHS
∴ LHS = RHS
Hence proved.