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Precalculus Final Exam Review Worksheet With Answer Key - Math 170, Santa Ana College Page 5

Use a right triangle to write the expression as an algebraic expression. Assume that x is positive and in the domain

of the given inverse trigonometric function.

32) sin(tan -1 x)

32)

Use a transformations to graph the function.

33) y = 2 cos

x + 2

33)

Use the given information to find the exact value of the expression.

34) sin

lies in quadrant I

Find cos 2 .

34)

Find all solutions of the equation.

35) 2 cos x - 1 = 0

35)

Solve the equation on the interval [0, 2 ).

36) cos x + 2 cos x sin x = 0

36)

Solve the equation on the interval [0, 2 ).

37) 2 cos 2 x + sin x - 2 = 0

37)

Polar coordinates of a point are given. Find the rectangular coordinates of the point.

38) (-7, 120°)

38)

The rectangular coordinates of a point are given. Find polar coordinates of the point. Express

in radians.

39) (5 3, 5)

39)

Write the partial fraction decomposition of the rational expression.

7x + 31

40)

x 2 + 8x + 15

Solve the problem.

41) A vendor sells hot dogs and bags of potato chips. A customer buys 5 hot dogs and 4

41)

bags of potato chips for $15.50. Another customer buys 2 hot dogs and 5 bags of potato

chips for $8.75. Find the cost of each item.

Precalculus Final Exam Review Worksheet With Answer Key - Math 170, Santa Ana College Page 5