Practice Test

Convert $\frac{5 π}{6} \frac{5 π}{6}$ radians to degrees.

Convert $−620° −620°$ to radians.

Find the length of a circular arc with a radius 12 centimeters subtended by the central angle of $30° .$

Find the area of the sector with radius of 8 feet and an angle of $\frac{5 π}{4} \frac{5 π}{4}$ radians.

Find the angle between $0° 0°$ and $360° 360°$ that is coterminal with $375° . 375° .$

Find the angle between 0 and $2 π 2 π$ in radians that is coterminal with $- \frac{4 π}{7} . - \frac{4 π}{7} .$

Draw the angle $315° 315°$ in standard position on the Cartesian plane.

Draw the angle $- \frac{π}{6} - \frac{π}{6}$ in standard position on the Cartesian plane.

A carnival has a Ferris wheel with a diameter of 80 feet. The time for the Ferris wheel to make one revolution is 75 seconds. What is the linear speed in feet per second of a point on the Ferris wheel? What is the angular speed in radians per second?

10.

Find the exact value of $\sin \frac{π}{6} . \sin$

11.

Compute sine of $240° . 240° .$

12.

State the domain of the sine and cosine functions.

13.

State the range of the sine and cosine functions.

14.

Find the exact value of $\cot \frac{π}{4} . \cot$

15.

Find the exact value of $\tan \frac{π}{3} . \tan$

16.

Use reference angles to evaluate $\csc \frac{7 π}{4} . \csc$

17.

Use reference angles to evaluate $\tan 210 ° . \tan$

18.

If $csc t = 1.68, csc$ what is the $csc (- t) ? csc (- t) ?$

19.

If $cos t = \frac{\sqrt{3}}{2}, cos$ find $cos (t - 2 π) . cos (t - 2 π) .$

20.

Which trigonometric functions are even?

21.

Find the missing angle: $\cos (\frac{π}{6}) = \sin (___) \cos (\frac{π}{6}) = \sin (___)$

22.

Find the missing sides of the triangle $A B C : \sin B = \frac{3}{4}, c = 12 A B C : \sin$

23.

Find the missing sides of the triangle.

A right triangle with hyptenuse length of 9 and angle measure of 60 degrees.

24.

The angle of elevation to the top of a building in Chicago is found to be 9 degrees from the ground at a distance of 2000 feet from the base of the building. Using this information, find the height of the building.