Question

if cot A+1/cotA=2,prove that cot^2A+1/cot^2A=2

Answer 1

Hi friend
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Your answer
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Given that : - CotA + 1/CotA = 2

To prove : - Cot²A + 1/Cot²A = 2

Now,
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cotA + 1/cotA = 2

=> (cotA + 1/cotA)² = (2)². [Squaring both sides.]

=> cot²A + 2 × cotA × 1/cotA + 1/cot²A = 4

=> cot²A + 1/cot²A + 2 = 4

=> cot²A + 1/cot²A = 4 - 2

=> cot²A + 1/cot²A = 2

Hence, proved.

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Answer 2

Answer:

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