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Question 141
If tan θ + cot θ = 2, then the value of $$tan^n \theta + cot^{n}\theta$$(0° < θ < 90°, n is an integer) is
Solution
Given tan θ + cot θ = 2
Then $$ (tan θ + cot θ)^2 = 4$$
$$ (tan ^2θ + cot ^2θ + 2tan θ cot θ) = 4$$
$$ (tan ^2θ + cot ^2θ ) = 2$$
Option A is the correct answer.
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