If the equation `sin 2theta + cos 2theta = p` has a solution then p cannot be

If the equation sin theta(sin theta + 2 cos theta )=a has a real solution then a belongs to the interval

If the equation "sin" theta ("sin" theta + 2 "cos" theta) = a has a real solution, then the shortest interval containing 'a', is

If the equation "sin" theta ("sin" theta + 2 "cos" theta) = a has a real solution, then the shortest interval containing 'a', is

The equation "sin"^(4) theta + "cos"^(4) theta = a has a real solution if

The equation "sin"^(4) theta + "cos"^(4) theta = a has a real solution if

If 0 lt theta lt pi/2 , the solution of the equation sin theta - 3 sin 2 theta + sin 3 theta = cos theta - 3 cos 2 theta + cos 3 theta is

Solve the equations: sin 2theta - cos 2 theta - sin theta + cos theta = 0

The number of integral value(s) of 'p' for which the equation 99 cos 2theta - 20 sin 2theta = 20p + 35 , will have a solution is

If p and p_1 be the lengths of the perpendiculars drawn from the origin upon the straight lines x sin theta + y cos theta = 1/2 a sin 2 theta and x cos theta - y sin theta = a cos 2 theta , prove that 4p^2 + p^2_1 = a^2 .