Question

+ 11. Prove that (tan + cot 0)* = sec 0 + cosec e seco.cosec?.​

Answer 1

Answer:

(tanθ+cotθ)

2

=sec

2

θ+cosec

2

θ

L.H.S (tanθ+cotθ)

2

=tan

2

θ+cot

2

θ+2tanθcotθ

=sec

2

θ−1+cosec

2

θ−1+2tanθ

tanθ

1

=sec

2

θ+cosec

2

θ−2+2

=sec

2

θ+cosec

2

θ

=R.H.S.