Question
Download Solution PDFIf sin-1 x + sin-1 y = \(\rm \frac{3\pi}{4}\) , then cos-1 x + cos-1 y = ? .
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
sin-1 x + cos-1 x = \(\rm \frac{π}{2}\)
Calculation:
sin-1 x + sin-1 y = \(\rm \frac{3π}{4}\)
⇒ \(\rm \left ( \frac{π}{2} -cos^{-1}x\right ) + \left ( \frac{π}{2}- cos^{-1}y\right ) = \frac{3π}{4}\)
⇒ π - ( cos-1 x + cos-1 y ) = \(\rm \frac{3π}{4}\)
⇒ cos-1 x + cos-1 y = \(\rm\frac{\pi}{4}\)
The correct option is 2.
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