Evaluate:cot-1(cot \(\frac{9\pi}4\)) – InterviewSolution

1.

Evaluate:cot-1(cot \(\frac{9\pi}4\))

Answer»

The value of cot \(\frac{9\pi}4\) is 1.

∴ The question becomes cot^–1(1).

Let cot^–1(1) = y

⇒ cot y = 1

= cot\((\frac{\pi}4)\) = 1

The range of principal value of cot^–1is (0, π)

and cot \((\frac{\pi}4)\)= 1

∴ The value of cot^–1(cot\(\frac{9\pi}4\)) is \(\frac{\pi}4.\)

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