If `sin theta =a ` has exactly 3 solution in `theta in [0,(7pi)/(3)]` then the value of 'a' is

If sin theta=a for e xactly one value of theta in[0,(7 pi)/(3)], then 10, then the value of a is

If equation sin^(-1) (4 sin^(20 theta + sin theta) + cos^(-1) (6 sin theta - 1) = (pi)/(2) has 10 solution for theta in [0, n pi] , then find the minimum value of n

If the equation sec theta+cos ec theta=k,(k in R) has exactly 3 solution between 0 and pi, then k can take value

If the equation cos (lambda "sin" theta) = "sin" (lambda "cos" theta) has a solution in [0, 2pi] , then the smallest value of lambda , is

4 sin ((pi)/(3) + theta)sin ((pi)/(3)- theta)=

If f( theta ) = sin ^(3)theta + sin ^(3)( theta + (2pi)/(3)) + sin ^(3)( theta + (4pi)/(3)) then the value of f((pi)/(18)) + f((7pi)/(18)) is ___________.

If sin theta + sin 5 theta = sin 3 theta and 0 lt theta lt ((pi)/(2)), what is the value of theta ( in degrees) ?

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

If sin theta = (5)/(13), 0 lt theta lt (pi)/(2) then find the value of following. sin 3 theta

If sin theta=-(4)/(5) , pi < theta < (3 pi)/(2) ,then the value of tan2 theta is -(a)/(7) then a=