" If "1+sin^(2)theta=3sin theta cos theta" then the solution set in "[0,(pi)/(2)]" is "

Number of solutions of 5cos^(2)theta-3sin^(2)theta+6sin theta cos theta=7 in the interval [0,2 pi) is:

If 0

The nummber of distinct solutions of sin5 theta*cos3 theta=sin9 theta*cos7 theta in [0,(pi)/(2)] is

The number of solution of the pair of equations 2sin^(2)theta-cos 2 theta=0, 2 cos^(2)theta-3sin theta=0 in the interval [0,2pi] is

The number of distinct solutions of sin5 theta*cos3 theta*cos7 theta=0 in [0,(pi)/(2)] is :

The solution of the equation cos^(2)theta-2cos theta=4sin theta-sin2 theta where theta in[0,pi] is

If f (theta) = [[cos^(2) theta , cos theta sin theta,-sin theta],[cos theta sin theta , sin^(2) theta , cos theta ],[sin theta ,-cos theta , 0]] "then " f (pi/7) is

The number of solutions of the pair of equations 2sin^(2)theta-cos(2 theta)=0,2cos^(2)theta-3sin theta=0 in the interval [0,2 pi] is