Question
Download Solution PDFIf 4 sin-1 x + cos-1 x = π, then what is sin-1 x + 4 cos-1 x equal to?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFExplanation:
Given:
4 sin-1 x + cos-1 x = π
⇒ \(4( \frac{\pi }{2} - Cos^{-1}x) + (\frac{\pi }{2} - sin^{-1}x) = \pi \)
⇒ \(2\pi - 4cos^{-1}x + \frac{\pi }{2} - sin^{-1}x = \pi \)
⇒ 4cos-1 x + sin-1x = \(\frac{3\pi}{2}\)
∴ Option (c) is correct
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