Answer:
Proved , since LHS= RHS
Step-by-step explanation:
We need to prove the given expression ,
=> 1 + cos x / 1 + sec x = cos x
=> 1 + cos (x) / 1 + sec (x)
=> 1 + cos (x) / 1 + 1/cos (x)
=> 1 + cos (x) ÷ 1 + cos(x) / cos (x)
=> 1 + cos (x) × cos(x) / { 1 + cos (x) }
- 1 + cos (x) gets cancelled . So we are finally left out with ,
=> cos (x)
= RHS
