91Ó°ÊÓ

In \(3-8,\) for each value of \(\theta,\) use half-angle formulas to find a. \(\sin \frac{1}{2} \theta\) b. \(\cos \frac{1}{2} \theta\) c. \(\tan \frac{1}{2} \theta .\) Show all work. $$ \theta=\frac{3 \pi}{2} $$

\(\ln 3-17,\) find the exact value of \(\sin (A-B)\) and of \(\sin (A+B)\) for each given pair of values. \(A=60^{\circ}, B=90^{\circ}\)

In \(3-17,\) find the exact value of \(\tan (A+B)\) and of \(\tan (A-B)\) for each given pair of values. $$ A=120^{\circ}, B=30^{\circ} $$

In \(3-17,\) find the exact value of \(\cos (A-B)\) for each given pair of values. \(A=30^{\circ}, B=90^{\circ}\)

In \(3-26,\) prove that each equation is an identity. $$ 1-\frac{\sin \theta}{\csc \theta}=\cos ^{2} \theta $$

\(\ln 3-17,\) find the exact value of \(\sin (A-B)\) and of \(\sin (A+B)\) for each given pair of values. \(A=30^{\circ}, B=90^{\circ}\)

In \(3-17,\) find the exact value of \(\cos (A+B)\) for each given pair of values. \(A=270^{\circ}, B=30^{\circ}\)

In \(3-14,\) write each expression as a single term using \(\sin \theta, \cos \theta,\) or both. $$ \cot ^{2} \theta+1 $$

In \(9-20,\) for each given function value, find \(a \cdot \sin 2 \theta, \mathbf{b} \cdot \cos 2 \theta, \mathbf{c} \cdot \tan 2 \theta, \mathbf{d}\) . the quadrant in which 2\(\theta\) lies. Show all work. \(\tan \theta=\frac{3}{5}, \theta\) in the first quadrant

In \(3-17,\) find the exact value of \(\cos (A+B)\) for each given pair of values. \(A=270^{\circ}, B=60^{\circ}\)