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The equation 3cos^(-1)x-pix-pi/2=0 has o...

The equation `3cos^(-1)x-pix-pi/2=0` has one negative solution, one positive solution, no solution, more than one solution

Text Solution

Verified by Experts

`3cos^-1x-pix -pi/2 = 0`
`=>3cos^-1x = pix - pi/2`
`=>cos^-1x = (pix)/3 - pi/6`
Now, if we draw graph for `cos^-1x` and `(pix)/3 - pi/6`, we can see there is only one point of intersection.
Please refer to video to see the graph.
Hence, the equation has one positive solution.
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