Ch. 7 Practice Test – Algebra and Trigonometry 2e | OpenStax

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Ch. 7 Practice Test – Algebra and Trigonometry 2e | OpenStax

Practice Test

Convert $\frac{5\pi}{6}$ radians to degrees.
Convert $-620^\circ$ to radians.
Find the length of a circular arc with a radius 12 centimeters subtended by the central angle of $30^\circ$ .
Find the area of the sector with radius of 8 feet and an angle of $\frac{5\pi}{4}$ radians.
Find the angle between $0^\circ$ and $360^\circ$ that is coterminal with $375^\circ$ .
Find the angle between 0 and $2\pi$ in radians that is coterminal with $-\frac{4\pi}{7}$ .
Draw the angle $315^\circ$ in standard position on the Cartesian plane.
Draw the angle $-\frac{\pi}{6}$ 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?
Find the missing sides of the triangle $ABC: \sin B = \frac{3}{4}, c = 12.$
Find the missing sides of the triangle.
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.
Find the exact value of $\sin \frac{\pi}{6}$ .
Compute sine of $240^\circ$ .
State the domain of the sine and cosine functions.
State the range of the sine and cosine functions.
Find the exact value of $\cot \frac{\pi}{4}$ .
Find the exact value of $\tan \frac{\pi}{3}$ .
Use reference angles to evaluate $\csc \frac{7\pi}{4}$ .
Use reference angles to evaluate $\tan 210^\circ$ .
If $\csc t = 0.68$ , what is the $\csc(-t)?$
If $\cos t = \frac{\sqrt{3}}{2}$ , find $\cos(t - 2\pi)$ .
Find the missing angle: $\cos\left(\frac{\pi}{6}\right) = \sin(\_\_\_)$

Ch. 7 Practice Test – Algebra and Trigonometry 2e | OpenStax

Practice Test

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