Question

If cot A + 1 upon cot a is equal to 2 find the value of cot square A + 1 upon cot square a​

Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

The value of $cot^{2} +\frac{1}{cot^{2} A} = 2$

Given: $cot A+\frac{1}{cot A} =2$

To Find: $cot^{2} +\frac{1}{cot^{2} A}$

Solution:

The equation is $cot A+\frac{1}{cot A} =2$

Squaring both sides

$(cot A+\frac{1}{cot A})^{2} =2^{2}$

$cot^{2} +\frac{1}{cot^{2} A} +2cotA\frac{1}{cotA}=4\\ cot^{2} +\frac{1}{cot^{2} A} = 4-2\\cot^{2} +\frac{1}{cot^{2} A} = 2$

Hence, the value of $cot^{2} +\frac{1}{cot^{2} A}$ is 2.

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