Question 101

If $$cotA+\frac{1}{cotA}=2$$, then $$\cot^{2}A+\frac{1}{\cot^{2}A}$$ is equal to

Solution

Expression : $$cotA+\frac{1}{cotA}=2$$

Squaring both sides, we get :

=> $$cot^2 A + \frac{1}{cot^2 A} + 2.cot A.\frac{1}{cot A} = 4$$

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

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