Question

Pls answer the attached the question i

Answer 1

Step-by-step explanation:

L.H.S.,

(sinθ+1/cosθ)²+(cosθ+1/sinθ)²

sin²θ+2sinθ/cosθ+1/cos²θ+cos²θ+2cosθ/sinθ+1/sin²θ

sin²θ+cos²θ+2sinθ/cosθ+2cosθ/sinθ+1/cos²θ+1/sin²θ

1+2(sin²θ+cos²θ/cosθsinθ)+(sin²θ+cos²θ/cos²θsin²θ)

1+2/cosθsinθ+1/cos²θsin²θ

1+2cosecθsecθ+sec²θcosec²θ

∴(1+secθcosecθ)²

∴R.H.S.=L.H.S.