Question

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Answer 1

Answer:

tan²θ + cot²θ = 2.

Step-by-step explanation:

{Formulae used:

• (a+b)² = a²+b²+2.a.b
• cotθ = 1/tanθ}

tanθ + cotθ = 2.

Square on both sides,

(tanθ + cotθ)² = 2².

tan²θ + cot²θ + 2 . tanθ . cotθ = 4

tan²θ + cot²θ + 2 . tanθ . 1/tanθ = 4

tan²θ + cot²θ + 2 = 4

tan²θ + cot²θ = 4 - 2

tan²θ + cot²θ = 2.

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