Chapter 4 Quiz Form A

NAME: _________________________ PRECALCULUS H DATE: ______ CAMPANELLA PERIOD: ____ CHAPTER 4 QUIZ Form A Directions: Show all work. No calculator allowed. Possible Points: 30 1. Find the length (in simplest form) of an arc on a circle with a radius of 10 and intercepted by a central angle that measures  radians. [3 pts.] 4 2. Use the unit circle to find the exact value of the following. [2 pts. each] a) cot 5 4 b)  tan 2 3 c) sec 7 3 3. Answer the three following questions. [1 pt. each] a) Find the reference angle, in degrees, for an angle that measures 140. b) Find the reference angle, in radians, for an angle that measures 5 . 4 c) Find the reference angle for angle that measures 2 radians. [Your answer must exact and in radian measure]. 4. Find the value of sec2   tan2  . [2 pts.] 66 5. A building 150 feet tall casts a 30-foot long shadow. If a person looks down from the top of the building, what is the exact measure of the angle between the end of the shadow (shadow on the side of the building, not the ground) and the vertical side of the building? Assume the person’s eyes are level with the top of the building. [5 pts.] 6. Given right triangle ABC, with angle A measuring  degrees, a = 7, b = 5, and angle C a right angle, find sin  and cos . Give your answers with rational denominators. [5 pts.] TURN OVER

7. Let  be an angle in standard position. Name the quadrant in which the angle  lies. [1 pt. each] a) tan  0 , sin  0 b) cos  0 , csc  0 c) sec  0, tan  0 8. Find the exact value of sin  if cos  8 and tan  0 . [3 pts.] 9