# Trigonometry Basics Test - Sin, Cos, Tan

**Choose the best answer. Trigonometric ratios are rounded to the nearest thousandth.**

**1.** $Sin A = \frac{12}{16}$ for which of the following triangles?

**2.** $Tan A = \frac{13}{12}$ for which of the following triangles?

**3.** $Cos B = \frac{13}{33}$ for which of the following triangles?

**4.** Which trigonometric function can equal or be greater than 1.000?

**5.** A plane ascends at a 40° angle. When it reaches an altitude of one hundred feet, how much ground distance has it covered? To solve, use the trigonometric chart. Round the answer to the nearest tenth.

**6.** A 20 ft. beam leans against a wall. The beam reaches the wall 13.9 ft. above the ground. What is the measure of the angle formed by the beam and the ground?

**7.** Which set of angles has the same trigonometric ratio?

**8.** What is the sum of trigonometric ratios Sin 54 and Cos 36?

**9.** What is the sum of trigonometric ratios Sin 33 and Sin 57?

**10.** What is the sum of trigonometric ratios Cos 16 and Cos 74?

**11.** In △ABC, vertex C is a right angle. Which trigonometric ratio has the same trigonometric value as Sin A?

**12.** In △ABC, Tan ∠A = 3/4. The hypotenuse of △ABC is

**13.** In △ABC, Sin ∠B = 14/17. The hypotenuse of △ABC is

**14.** In △ABC, Cos ∠C = 22/36. The hypotenuse is

**Circle whether each answer is True or False.**

**15.** If Sin∠A = 358, them m∠A = 21°.

**16.** The sum of the sine of an angle and the cosine of its complement is always greater than 1.000.

**17.** The trigonometric ratio of sin 45, cos 45, and tan 45 are equal.