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.

1. If \(\sin 60{}^\circ =\frac{\sqrt{3}}{2}\) and \(\cos 60{}^\circ =\frac{1}{2}\), what are the values of
   1. \(\tan 60{}^\circ \)
      
   2. \(\sec 60{}^\circ \) =
   3. \(\cot 60{}^\circ \) =
2. If \(\csc \theta =3\) and \(\sec \theta =\frac{3\sqrt{2}}{4}\), what are the values of
   1. \(\sin \theta \) =
   2. \(\tan \theta \) =
   3. \({{\cos }^{2}}\theta \) =

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