10) If cosec + coto = 5, then evaluate seco.
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Answer:
Sec theta= 13/12 is your ans
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Step-by-step explanation:
cosecθ+cotθ=5
➡(1+cosθ)/sinθ=5
➡1+cosθ=5sinθ
➡(1+cosθ)²=25sin²θ
➡(1+cosθ)²=25(1-cos²θ)
➡(1+cosθ)²=25(1+cosθ)(1-cosθ)
➡1+cosθ=25(1-cosθ)
➡1+cosθ=25-25cosθ
➡26cosθ=24
➡cosθ=24/26=12/13
➡secθ=13/12
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