The range of values of `theta in [0, 2pi]` for which `(1+ cos theta, sin theta)` is on interior point of the circle `x^(2) +y^(2)=1`, is

The range of values of theta in the interval (0, pi) such that the points (3,2) and (cos theta, sin theta) lie on the same side of the line x+y-1=0 is

The number of values of theta in [0, 2pi] that satisfies the equation sin^(2)theta - cos theta = (1)/(4)

find all values of theta varepsilon[0,2 pi] for which 1)sin theta+cos theta=02)cos^(2)theta=1+sin theta

The range of theta in (0, pi) such that the point (3, 5) and (sin theta, cos theta) lie on the same side of the line x+y-1=0 is

The range of values of theta in the interval (0, pi) such that the points (3,2) and (sin theta , cos theta) lie on the same side of the line x+y-1=0 , is

The sum of all values of theta in (0 , pi) satisfying sin^(2) 2 theta + cos^(4) 2 theta = 1 is:

The number of values of theta in the range [0,2 pi] satisfying the equation cos^(4)2 theta+2sin^(2)2 theta=17(sin theta+cos theta)^(8) is

A value of theta in (0, pi//3), for which |{:(1+"cos"^(2)theta, "sin"^(2)theta, 4"cos" 6 theta), ("cos"^(2)theta, 1+"sin"^(2)theta, 4"cos"6theta), ("cos"^(2)theta, "sin"^(2)theta, 1+4"cos"6theta):}| = 0, is