Math, asked by sharvani2410, 6 months ago

if cot A +1/ cot A =2 find the value of (cot^2A+1/cot^2A)​

Answers

Answered by Anonymous
4

Answer: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

Step-by-step explanation:

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