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Question
If tan A + cot A = 4, then write the value of tan4 A + cot4 A.
Solution
\[\tan A + \cot A = 4\]
Squaring both the sides:
\[ \tan^2 A + co t^2 A + 2 = 16\]
\[ \Rightarrow \tan^2 A + co t^2 A = 14\]
Squaring both the sides again:
\[ \tan^4 A + co t^4 A + 2 = 196\]
\[ \Rightarrow \tan^4 A + co t^4 A = 194\]
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