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Trigonometry and Cosine Practice Questions

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Updated on Oct 2, 2011

Read the following study guide for a concept review

Trigonometry and Cosine Study Guide

Practice Questions

Find the cosine of the angle θ in each triangle.

 1 2 3 4 5 6 7 8 9 10
 11 If sin(x) = , what is cos(90° – x)? 12 If sin(x) = , what is cos(x)? 13 If sin(30°) = , then what is cos(60°)? 14 What is cos(30°) if sin(30°) = ? 15 Find cos(x) when sin(x) = . 16 If cos(40°) ≈ 0.766, then what is sin(50°)? 17 If cos(x) = , then what is sin(x)? 18 Find sin(x) when cos(x) = . 19 If cos(45°) = , then what is sin(45°)? 20 What is the sin(x) if cos(x) = ?
 21 Suppose cos(x) = 0.11. If the hypotenuse of a right triangle with angle x is H = 14 feet long, what is the length of the side adjacent to angle x? 22 Suppose cos(x) = 0.5 for angle x in a right triangle. If the side adjacent to angle x has length A = 3 feet long, what is the length of the hypotenuse? 23 Suppose cos(x) = for angle x in a right triangle with hypotenuse H = 10 inches long. What are the lengths of the other two sides?

 1 cos(θ) = 2 cos(θ) = 3 cos(θ) = 4 cos(θ) = 5 cos(θ) = 6 cos(θ) = 7 cos(θ) = 8 cos(θ) = 9 cos(θ) = 10 cos(θ) = 11 cos (90° – x) = 12 cos(x) = 13 cos (60°) = 14 cos (30°) = 15 cos(x) = 16 sin (50°) ≈ 0.766 17 sin(x) = 18 sin(x) = 19 cos (45°) = 20 sin(x) = 21 A = 1.54 ft. long 22 H = 6 ft. long 23 A = in. long and O ≈ 9.58 in. long

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