Does there exist a value of `theta` for which` cosectheta=-5/3`

Does there exist a value of theta for which sectheta=1/3

Does there exist a value of theta for which costheta=3/4

Does there exist a value of theta for which cottheta=-5

Does there exist a value of theta for which sintheta=-2

Does there exist a value of theta for which tantheta=10

Find -the least value of sec^2theta+cos^2theta

The value of sin(90^@-theta) is

Solve : 3tantheta+cottheta=5 cosectheta

If sin theta-cos theta=0 ,find the value of sec theta+ cosec theta

Verify the following identities by substitutihg the values of the trigonometric ratios wiyh respect to the given values of theta .(iii) 1+cot^2=cosec^2theta(theta=pi/3)