Question

prove that (1+cosec theta - cot theta) (1+sec theta-tan theta) is independent of theta​

Answer 1

Answer:

LHS :

q(p

2

−1)

=(secθ+cosec θ)[(sinθ+cosθ)

2

−1]

=(

cosθ

1

+

sinθ

1

)(2sinθcosθ)

=(

sinθcosθ

sinθ+cosθ

)(2sinθcosθ)

=2(sinθ+cosθ)=2p = RHS