91Ó°ÊÓ

Suppose that \(\triangle A B C\) is a right triangle with \(\angle C=90^{\circ}\) If \(A B=3\) and \(A C=1,\) compute the values of the six trigonometric functions of angle \(A\) If \(A B=1\) and \(B C=\sqrt{3} / 2,\) compute the following. (a) \(\cos A, \sin B\) (b) \(\tan A, \cot B\) (c) \(\sec A, \csc B\)

Convert the radian measures to degrees. (a) \(5 \pi / 6\) (b) \(11 \pi / 6\) (c) 0

Use the definitions (not a calculator) to evaluate the six trigonometric functions of each angle. If a value is undefined, state this. $$3 \pi / 2$$

Carry out the indicated operations. (a) \(\frac{1}{S}-\frac{3}{C}\) (b) \(\frac{1}{\sin A}-\frac{3}{\cos A}\)

Use the definitions (not a calculator) to evaluate the six trigonometric functions of each angle. If a value is undefined, state this. $$-3 \pi / 2$$

Convert the radian measures to degrees. Bound the answers to two decimal places. $$\begin{array}{lll} \text { (a) } 2 & \text { (b) } 3 & \text { (c) } \pi^{2} \end{array}$$

Factor each expression. (a) \(T^{2}+8 T-9\) (b) \(\tan ^{2} \beta+8 \tan \beta-9\)

Verify that each equation is correct by evaluating each side. Do not use a calculator. $$\cos 60^{\circ}=\cos ^{2} 30^{\circ}-\sin ^{2} 30^{\circ}$$

Verify that each equation is correct by evaluating each side. Do not use a calculator. $$\cos 60^{\circ}=1-2 \sin ^{2} 30^{\circ}$$

Use the definitions (not a calculator) to evaluate the six trigonometric functions of each angle. If a value is undefined, state this. $$-3 \pi$$