91Ó°ÊÓ

Write each of the following in terms of \(\sin \theta\) and \(\cos \theta ;\) then simplify if possible. $$ \csc \theta \cot \theta $$

Indicate which of the angles below are acute angles and which are obtuse angles. Then give the complement and the supplement of each angle. $$ 150^{\circ} $$

Use the reciprocal identities for the following problems. If \(\cos \theta=\frac{\sqrt{2}}{2}\), find \(\sec \theta\)

Find all six trigonometric functions of \(\theta\) if the given point is on the terminal side of \(\theta\). (In Problem 15, assume that \(a\) is a positive number.) $$ (4,0) $$

Write each of the following in terms of \(\sin \theta\) and \(\cos \theta ;\) then simplify if possible. $$ \sec \theta \cot \theta $$

Use the reciprocal identities for the following problems. If \(\sec \theta=-2\), find \(\cos \theta\).

Find all six trigonometric functions of \(\theta\) if the given point is on the terminal side of \(\theta\). (In Problem 15, assume that \(a\) is a positive number.) $$ (-9 a,-12 a) $$

Write each of the following in terms of \(\sin \theta\) and \(\cos \theta ;\) then simplify if possible. $$ \csc \theta \tan \theta $$

Use the reciprocal identities for the following problems. If \(\csc \theta=-\frac{13}{5}\), find \(\sin \theta\)

Write each of the following in terms of \(\sin \theta\) and \(\cos \theta ;\) then simplify if possible. $$ \cos \theta \tan \theta \csc \theta $$