Prove the identity: ( 1 + cot - cosec ) ( 1 + tan + sec ) = 2
Answers
Answered by
0
Answer:
Please look at the image.
Hope this helps you.
Attachments:
Answered by
1
Step-by-step explanation:
LHS
( 1 + cot θ - cosec θ) ( 1 + tanθ + secθ )
= (1/sinθ)(sinθ + cosθ - 1)*(cosθ +sinθ +1)(1/cosθ)
=[ (sinθ + cosθ)^2 - 1^2 ] *(1/sinθcosθ)
= [ (1 +2sinθcosθ -1]*(1/sinθcosθ)
= 2
= RHS
Proved
Similar questions