Chapter 6

\(1-12\) . Find the radian measure of the angle with the given degree measure. $$ 72^{\circ} $$

1-8. Find the reference angle for the given angle. (a) \(150^{\circ} \quad\) (b) \(330^{\circ} \quad\) (c) \(-30^{\circ}\)

\(1-12\) . Find the radian measure of the angle with the given degree measure. $$ 54^{\circ} $$

1-8. Find the reference angle for the given angle. (a) \(120^{\circ} \quad\) (b) \(-210^{\circ} \quad\) (c) \(780^{\circ}\)

\(1-12\) . Find the radian measure of the angle with the given degree measure. $$ -45^{\circ} $$

1-8. Find the reference angle for the given angle. (a) \(225^{\circ} \quad\) (b) \(810^{\circ} \quad\) (c) \(-105^{\circ}\)

\(1-12\) . Find the radian measure of the angle with the given degree measure. $$ -60^{\circ} $$

1-8. Find the reference angle for the given angle. (a) \(99^{\circ} \quad\) (b) \(-199^{\circ} \quad\) (c) \(359^{\circ}\)

1-8. Find the reference angle for the given angle. (a) \(\frac{11 \pi}{4} \quad\) (b) \(-\frac{11 \pi}{6} \quad\) (c) \(\frac{11 \pi}{3}\)

\(1-12\) . Find the radian measure of the angle with the given degree measure. $$ -75^{\circ} $$

1-8. Find the reference angle for the given angle. (a) \(\frac{4 \pi}{3} \quad\) (b) \(\frac{33 \pi}{4} \quad\) (c) \(-\frac{23 \pi}{6}\)

\(1-12\) . Find the radian measure of the angle with the given degree measure. $$ -300^{\circ} $$

1-8. Find the reference angle for the given angle. (a) \(\frac{5 \pi}{7} \quad\) (b) \(-1.4 \pi \quad\) (c) 1.4

\(1-12\) . Find the radian measure of the angle with the given degree measure. $$ 1080^{\circ} $$

\(1-12\) . Find the radian measure of the angle with the given degree measure. $$ 3960^{\circ} $$

9–32 Find the exact value of the trigonometric function. $$\sin 150^{\circ}$$

\(1-12\) . Find the radian measure of the angle with the given degree measure. $$ 96^{\circ} $$

9–32 Find the exact value of the trigonometric function. $$\sin 225^{\circ}$$

\(1-12\) . Find the radian measure of the angle with the given degree measure. $$ 15^{\circ} $$

Sketch each triangle and then solve the triangle using the Law of Sines. $$ \angle A=50^{\circ}, \quad \angle B=68^{\circ}, \quad c=230 $$

Solve triangle \(A B C\). \(a=3.0, \quad b=4.0, \quad \angle C=53^{\circ}\)

\(1-12\) . Find the radian measure of the angle with the given degree measure. $$ 7.5^{\circ} $$

9–32 Find the exact value of the trigonometric function. $$\cos 135^{\circ}$$

Solve triangle \(A B C\). \(b=60, \quad c=30, \quad \angle A=70^{\circ}\)

Sketch each triangle and then solve the triangle using the Law of Sines. $$ \angle A=23^{\circ}, \quad \angle B=110^{\circ}, \quad c=50 $$

\(1-12\) . Find the radian measure of the angle with the given degree measure. $$ 202.5^{\circ} $$

9–32 Find the exact value of the trigonometric function. $$\cos \left(-60^{\circ}\right)$$

Solve triangle \(A B C\). \(a=20, \quad b=25, \quad c=22\)

Sketch each triangle and then solve the triangle using the Law of Sines. $$ \angle A=30^{\circ}, \quad \angle C=65^{\circ}, \quad b=10 $$

\(13-24\) . Find the degree measure of the angle with the given radian measure. $$ \frac{7 \pi}{6} $$

9–32 Find the exact value of the trigonometric function. $$\tan \left(-60^{\circ}\right)$$

Solve triangle \(A B C\). \(a=10, \quad b=12, \quad c=16\)

Sketch each triangle and then solve the triangle using the Law of Sines. $$ \angle A=22^{\circ}, \quad \angle B=95^{\circ}, \quad a=420 $$

\(13-24\) . Find the degree measure of the angle with the given radian measure. $$ \frac{11 \pi}{3} $$

9–32 Find the exact value of the trigonometric function. $$\sec 300^{\circ}$$

Solve triangle \(A B C\). \(b=125, \quad c=162, \quad \angle B=40^{\circ}\)

Sketch each triangle and then solve the triangle using the Law of Sines. $$ \angle B=29^{\circ}, \quad \angle C=51^{\circ}, \quad b=44 $$

\(13-24\) . Find the degree measure of the angle with the given radian measure. $$ -\frac{5 \pi}{4} $$

9–32 Find the exact value of the trigonometric function. $$\csc \left(-630^{\circ}\right)$$

Solve triangle \(A B C\). \(a=65, \quad c=50, \quad \angle C=52^{\circ}\)

Sketch each triangle and then solve the triangle using the Law of Sines. $$ \angle B=10^{\circ}, \quad \angle C=100^{\circ}, \quad c=115 $$

\(13-24\) . Find the degree measure of the angle with the given radian measure. $$ -\frac{3 \pi}{2} $$

9–32 Find the exact value of the trigonometric function. $$\cot 210^{\circ}$$

Solve triangle \(A B C\). \(a=50, \quad b=65, \quad \angle A=55^{\circ}\)

Use the Law of Sines to solve for all possible triangles that satisfy the given conditions. $$ a=28, \quad b=15, \quad \angle A=110^{\circ} $$

\(13-24\) . Find the degree measure of the angle with the given radian measure. $$ 3 $$

9–32 Find the exact value of the trigonometric function. $$\cos 570^{\circ}$$

Sketch a triangle that has acute angle \(\theta,\) and find the other five trigonometric ratios of \(\theta\). $$\sin \theta=\frac{3}{5}$$

Solve triangle \(A B C\). \(a=73.5, \quad \angle B=61^{\circ}, \quad \angle C=83^{\circ}\)

Use the Law of Sines to solve for all possible triangles that satisfy the given conditions. $$ a=30, \quad c=40, \quad \angle A=37^{\circ} $$