The number of points in interval [ - (pi...

The number of points in interval `[ - (pi)/(2) , (pi)/(2)], ` where the graphs of the curves ` y = cos x ` and ` y= sin 3x , -(pi)/(2) le x le (pi)/(2) ` intersects is

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The correct Answer is:

`((pi)/(8),cos(pi)/(8)),((pi)/(4),cos(pi)/(4),cos(pi)/(4)),((-3pi)/(8),cos(3pi)/(8))`

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