**Exam: 250311RR – Trigonometric Functions **

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**1.** Find the reference angle for 96°.

**A.** 6°

**B.** 16°

**C.** 84°

**D.** 94°

**2.** Which of the following equations is *true* about the right triangle shown above?

**3.** Given and , use identities to find sec *t*.

**4.** Use a calculator to find the value of the expression sin

–1(–0.6). Round your answer to two decimal

places.

**A.** –0.64

**B.** 2.21

**C.** –36.87

**D.** 126.87

**5.** Which of these functions, when graphed, is the same as a translation of the graph of *y* = sin *x*?

**A.** *y* = cot *x*

**B.** *y* = cos *x*

**C.** *y* = tan *x*

**D.** *y* = sec *x*

**6.** Use reference angles to find the exact value of the expression . Don’t use a calculator.

**7.** Convert the angle 54° to radians. Express your answer as a multiple of

**8.** Find the exact value of the expression cos

–1

(–1).

**9.** In the right triangle below, *C* is the right angle and the two sides are given. Find cos *θ*. Give an exact

answer with a rational denominator.

**10.** Graph the function

**11.** Convert the angle in radians to degrees.

**12.** A car wheel has a 16-inch radius. Through what angle (to the nearest tenth of a degree) does the wheel

turn when the car rolls forward 3 feet?

**A.** 128.9°

**B.** 133.9°

**C.** 143.9°

**D.** 138.9°

**13.** Find a positive angle less than 360° that’s coterminal with the angle .

**14.** Find the radian measure of the central angle of a circle of radius *r* = 1.3 meters that intercepts an arc of

length *s* = 2.34 meters.

**A.** 0.77 radians

**B.** 1.7 radians

**C.** 0.65 radians

**D.** 1.8 radians

**15.** Use a sketch to find the exact value of the expression .

**16.** Draw the angle below in standard position.

**17.** Find a cofunction with the same value as tan 52°.

**A.** cot 38°

**B.** cot 142°

**C.** sec 52°

**D.** cot 52°

**18.** Find the radian measure of the central angle of a circle with radius *r* = 1.8 meters that intercepts an arc

*s* = 4.14 meters.

**A.** 1.6 radians

**B.** 0.56 radians

**C.** 2.3 radians

**D.** 0.9 radians

**19.** Convert the angle below to degrees. Round your answer to two decimal places.

**A.** 310.58°

**B.** 309.58°

**C.** 307.58°

**D.** 308.57°

**20.** Convert the angle of 160° to radians. Express your answer as a multiple of .

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