If tan A - A -2- then find the value of tan 2 A - 2 A

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Trigonometric Equations

If tan A + ...

Question

If $tan A + cot A = 2$ , then find the value of ${tan}^{2} A + {cot}^{2} A$

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tan A + cot A = 2

{tan}^{2} A + {cot}^{2} A

sec A s i n A + {t a n}^{2} A - csc A

tan A = 2

0 \leq A \leq \frac{π}{2}

{t a n}^{2} A + {c o t}^{2} A

tan A = \sqrt{2} - 1

\frac{tan A}{1 + {tan}^{2} A} = \frac{\sqrt{2}}{4}

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

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