If cot theta + cosec theta equals to 5 then cos theta equals to

cosecθ+cotθ= 5 ....1we know that cosec2θ-cot2θ= 1cosecθ+cotθcosecθ-cotθ= 1cosecθ-cotθ= 1cosecθ+cotθ=15...2add equation 1 and 2 2cosecθ= 5+15= 265cosecθ=135sinθ=513so cosθ= 1-sin2θ=1-25169= 144169= 1213

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