If tan θ + cot θ = 2, then the value of $$tan^n \theta + cot^{n}\theta$$(0° < θ < 90°, n is an integer) is
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.
Create a FREE account and get:
Quick, easy and effective revision
