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number of real solutions of equation
(1+ cos2x)1/2 = 21/2 sin inverse sinx ,-Π <= x <= Π is
ans: 2
See
1+cos2x= 2cos2x;
using this and putting it in given expression I will get cosx = sin-1sinx. ,-Π <= x <= Π
Now draw the curves of cosx for -Π <= x <= Π and also draw the curve of sin-1sinx for -Π <= x <= Π and find the no. of intersection points of the curve. They will intersect at two points only. So, Ans is 2.
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