1. Sketch the angle .
2. Find the reference angle of
3. If = -18º, find the exact value of in radians.
4. If = 3, find the value of in degrees correct to the nearest tenth of a degree.
5. Complete the table showing the relationship between degree and radian measures of common angles.
6. The radius of a circle is 6 inches. If the central angle is 5π/3, find the length of the intercepted arc. (Round to the nearest hundredth.)
7. At 2:00 p.m. the angle between the hour and minute hands on a clock is 60º (approximately 1.05 radians). The arc length formed by the two hands is 2.63
inches. What is the radius of the clock in inches? (Round to the nearest tenth.)
8. A pulley with a radius of 8 inches rotates three times every five minutes. Find the angular velocity of the pulley in radians/sec (round to the nearest hundredth). Find the linear velocity to the nearest ft/hr.
9. The Earth travels in a circular orbit around the Sun at 29.79 km/sec. If the radius of the orbit is 1.496 x 108 km, what is the angular velocity in radians/sec?
(Round to three significant digits.)
10. Let be an angle in standard position and the point (a, b) be the point of intersection of the terminal side of with the unit circle. State the unit circle
definitions of the six trigonometric functions.
11. If , what is the value of ?
12. Find the value of 3sec2.4. (Round to the nearest tenth.)
13. In Quadrant II, is the value of cosecant positive or negative.
14. If is a standard position angle and = 1.85, in which quadrant(s) could lie?
15. If and , what is the value of ?
16. State the three Pythagorean Identities.
17. If , use the fundamental identities to find < 0.
18. If , use the fundamental identities to find .
19. Sketch the curve represented by the parametric equations and for .
20. A projectile is fired with an initial velocity of 88 ft/sec at an angle of 35º to the horizontal. Neglecting air resistance, what is the time of impact? (Round to the nearest tenth of a second.) Remember: and