if theta is acute, tan theta = 1/root7 cosec^2 -sec^2/cosec^2 +sec^2=?
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Answer:
Step-by-step explanation:
Tanθ = 1/√7
=> Tan²θ = 1/7
Cotθ = 1/Tanθ = √7
=> Cot²θ = 7.
Now Sec²θ = 1 + Tan²θ = 1 + 1/7 = 8/7
Cosec²θ = 1 + Cot²θ = 1 + 7 = 8.
So Cosec²θ - Sec²θ / Cosec²θ + Sec²θ
= 8 - 8/7 / 8 + 8/7
= 48/7 / 64/7
= 48/64
= 3/4
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