Math, asked by kanaujiya80093, 1 year ago

Cot18°[cot 72°•cos square 22°+1/tan72°•sec square 68°]


Answers

Answered by knjroopa
18

Answer:

1

Step-by-step explanation:

Given Cot18°[cot 72°•cos square 22°+1/tan72°•sec square 68°]

We need to find the given expression

So we get

 cot 18 x cot 72 x cos^2 22 + cot 18 / tan 72 x sec^2 68

cot 18 x cot(90 - 18) x cos^2 22 + cot 18 / tan (90 - 18) x cos^2 68

 cot 18 x tan 18 x cos^2 22 + cot 18 / cot 18 x cos^2 68

 cos ^2 22 + cos^2 (90 - 22)

 cos^2 22 + sin^2 2

 = 1

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