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Find the set of value of x for which the...

Find the set of value of x for which the equation `cos^(-1) x + cos^(-1) ((x)/(2) + (1)/(2) sqrt(3 -3x^(2))) = (pi)/(3)` holds goods

A

one negative solution

B

one positive solution

C

no solution

D

more than one solution

Text Solution

Verified by Experts

The correct Answer is:
B
`3 cos^(-1) x - pi x - (pi)/(2) = 0 " or " cos^(-1) x = (pi x)/(3) + (pi)/(6)`

From the graph, there is only one solution
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