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 \(\sin 60{}^\circ =\frac{\sqrt{3}}{2}\) and \(\cos 60{}^\circ =\frac{1}{2}\), what are the values of

a) \(\tan 60{}^\circ \) =

b) \(\sec 60{}^\circ \) =

c) \(\cot 60{}^\circ \) =