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Find the number of real solutions to the...

Find the number of real solutions to the equation `3cos^(-1)x-pix-pi/2=0`

A

A. 0

B

B. 1

C

C. 2

D

D. Infinite

Text Solution

Verified by Experts

We have `cos^(-1)x-pix-pi/2=0rArrcos^(-1)x=(pix)/3+pi/6`
Drew the graphs of `y=cos^(-1)x" and y"(pix)/3+pi/6`
The graphs are as the shown in the following figure.

From the grph, the number of roots is 'I'.
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