if tanα=1/√3 then find cosec^2α- sec^2α/cosec^2+sec^2
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Answer:
1/2
Step-by-step explanation:
tanα = 1/√3
α = 30°
cosec²α- sec²α/cosec²α+sec²α
= cos²α - sin²α/cos²α + sin²α
= cos²α - sin²α
= cos²30° - sin²30°
= (√3/2)² - (1/2)²
= 3/4 - 1/4
= 2/4 = 1/2.
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