Let `f:[-100pi,100pi] ->[-1,1]` be defined by `f(theta)=sin theta` Then what is the number of values of `theta in [-100pi, 1000pi]` for which `f(theta)=0`

Let f:[-100pi, 1000pi] to [-1,1] be defined by f(theta)=sin^(2)theta . Then the number of values of theta in [-100pi, 1000pi] for which f(theta)=0 is

If 6sin^(2)theta - sin theta = 1 and 0 le theta le pi , what is the value of sin theta ?

If f(theta) = 1 + sin [pi/4 + theta] + cos (pi/4 + theta) . find the range of values of f(theta)

If f(theta) = 1 + sin [pi/4 + theta] + cos (pi/4 + theta) . find the range of values of f(theta)

Prove that f(theta)=(4sin theta)/(2+cos theta)-theta is an increasing function of theta in [0,(pi)/(2)]

The range of the function f (theta) =(sin theta)/( theta ) + (theta)/(tan theta) , theta in (0, (pi)/(2)) is equal to :

The range of the function f (theta) =(sin theta)/( theta ) + (theta)/(tan theta) , theta in (0, (pi)/(2)) is equal to :

for theta in [ 0, pi ] , let f( theta) = sin ( cos theta) and g ( theta) = cos ( sin theta ) . Let a = underset( 0 le theta le pi ) (" max") f ( theta) , b= underset(0 le theta le pi )( min) f( theta), c = underset(0 le theta le pi ) ( " max") g( theta) and d= underset( 0 le theta le pi )( min g( theta) . the correct inequalities satisfied by a,b,c,d are