Question

If tan α + cot α = 2, then tan²⁰α + cot²⁰α = ______.

Options

• 0

• 2

• 20

• 2²⁰

Answer 1

If tan α + cot α = 2, then tan²⁰α + cot²⁰α = 2.

Explanation:-

tan α + cot α = 2 gives α = 45°.

So tan α = cot α = 1

tan²⁰α + cot²⁰α = 1²⁰ + 1²⁰ = 1 + 1 = 2