cos theta sin theta - sin teta cos (90 - theta) cos teta /sec (90 - theta) - cos theta sin (90 - theta) sin theta /cosec (90-theta)
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cosθsinθ - sinθcos(90°-θ)cosθ/sec(90°-θ) - cosθsin(90°-θ)sinθ/cosec(90°-θ) +cosec(90°-θ)
⇒cosθsinθ - sinθsinθcosθ/cosecθ - cosθcosθsinθ/secθ - secθ
⇒cosθsinθ - sin³θcosθ- cos³θsinθ- secθ
⇒cosθsinθ(1-sin²θ - cos²θ) - secθ
⇒cosθsinθ(1-1) - secθ
⇒0 - secθ
⇒1/cosθ = RHS
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