91Ó°ÊÓ

Find the following exactly in radians and degrees. $$\sin ^{-1} 0$$

Use a calculator to find each of the following in radians, rounded to four decimal places, and in degrees, rounded to the nearest tenth of a degree. $$\tan ^{-1} 0.3673$$

Solve, finding all solutions in \([0,2 \pi)\) or \(\left[0^{\circ}, 360^{\circ}\right) .\) Verify your answer using a graphing calculator. $$5 \sin ^{2} x-8 \sin x=3$$

Solve, finding all solutions in \([0,2 \pi)\). $$\sin 2 x+\sin x+2 \cos x+1=0$$

A guy wire is attached to the top of a 50 -ft pole and stretched to a point that is \(d\) feet from the bottom of the pole. Express \(\beta,\) the angle of inclination, as a function of \(d\)

Find \(\sin 15^{\circ}\) first using a difference identity and then using a half-angle identity. Then compare the results.

First write each of the following as a trigonometric function of a single angle. Then evaluate.$$\sin 37^{\circ} \cos 22^{\circ}+\cos 37^{\circ} \sin 22^{\circ}$$

Solve. $$3 x^{2}+5 x-10=18$$

Solve. $$x^{2}-10 x+1=0$$

Fill in the blank with the correct term. Some of the given choices will not be used. $$\begin{array}{ll}\text { linear speed } & \text { congruent } \\ \text { angular speed } & \text { circular } \\ \text { angle of elevation } & \text { periodic } \\ \text { angle of depression } & \text { period } \\ \text { complementary } & \text { amplitude } \\ \text { supplementary } & \text { quadrantal } \\ \text { similar } & \text { radian measure }\end{array}$$ The angle between the horizontal and a line of sight below the horizontal is called a(n) __________.