Question: Use common trigonometric identities for the functions given to find the indicated trigonometric functions. (Hint: Remember the reciprocal properties of sine, cosine, and tangent.) Show all work to receive full credit. Give answers in exact form – no decimals.

If \(\csc \theta =3\) and \(\sec \theta =\frac{3\sqrt{2}}{4}\), what are the values of

a) \(\sin \theta \) =

b) \(\tan \theta \) =

c) \({{\cos }^{2}}\theta \) =