1.

Prove that : tan-1 x + cot-1 x = π/2

Answer»

To prove,

tan-1 x + cot-1 x = π/2

Let us take tan-1 x = y, then

x = tan y = cot((π/2) - y)

Hence, cot-1 x = ((π/2) - y) = ((π/2) - tan-1 x)

or, tan-1 x + cot-1 x = π/2



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