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

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

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 cosectheta=-5/3

The maximum value of sintheta is

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

Verify the following identities by substituting the values of the trigonometric ratios with respect to the given values of theta .(i) sin^2theta+cos^2theta=1(theta=60^@)

Find the value of cos theta and tan theta if sin theta =-3/5 and piltthetalt3pi/2

If sectheta =sqrt(p^2+q^2)/q , then the value of (p sintheta-q costheta)/(p sintheta+q costheta) .