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 sectheta=1/3

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

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

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

lf 5 cos theta=7 sin theta , find the value of ( sin theta + cos theta)/(2 sin theta -3 cos theta) .

If 4 tan theta=3 , find the value of (4 sin theta-3 cos theta)/(4 sin theta+3 cos 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)

If sec theta=4 , find the value of cos theta/(4cos^2 theta+3sin^2 theta) .

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