Question

(sin+cosec)2 + (cos+sec)2 = 7+ tan2 + cot2

prove it​

Answer 1

Answer:

Refer to attachment✌️

Answer 2

Answer:

to prove----

(sinθ+cosecθ)² + (cosθ+secθ)12 = 7+tan²θ+cot²θ

solution.....

sin²θ+cosec²θ+2sinθcosecθ+cos²θ+sec²θ+2cosθsecθ

(sin²θ+cos²θ)+cosec²θ+2sinθcosecθ+sec²θ+2cosθsecθ

{sin²θ+cos²θ=1}

1+cosec²θ+2sinθ*1/sinθ+sec²θ+2cosθ*1/cosθ

1+cosec²θ+2+sec²θ+2

{cosec²θ=1+cot²θ}

{sec²θ=1+tan²θ}

1+1+cot²θ+2+1+tan²θ+2

7+cot²θ+tan²θ= RHS

hope it's helpful:)♥️