Pls answer the attached the question i
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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.
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