Question
Download Solution PDFयदि 4 sin-1 x + cos-1 x = π है, तो sin-1 x + 4 cos-1 x किसके बराबर है?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFव्याख्या:
दिया गया है:
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 = \(\frac{3\pi}{2}\)
∴ विकल्प (c) सही है।
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