Question

tanA + 1/tanA = 2 find the value of cot^2A + 1/cot^2A​

Answer 1

Step-by-step explanation:

$tanA+\frac{1}{tanA}=2$

Squiring both sides we get,

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

∵$\frac{1}{tanA}=cotA,and,tanA=\frac{1}{cotA}$

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