If cosec 0+ cot O = 5 then evaluate Sec O
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Answer:
cosec 0+ cot 0=5
1/sin 0 + cos 0/ sin 0=5
1+cos 0/ sin 0=5
1+ cos 0 =5sin0
cos 0=5 sin0/1
sec 0=1/ 5 sin 0
Step-by-step explanation:
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Answered by
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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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