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? Sine Cosine Tangent none of the above 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. 64.3 feet 76.6 feet 80.1 feet 119.2 feet 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? 44° 35° 55° 46° 7. Which set of angles has the same trigonometric ratio? Sin 45 and tan 45 Sin 30 and cos 60 Cos 30 and tan 45 Tan 60 and sin 45 8. What is the sum of trigonometric ratios Sin 54 and Cos 36? 0.809 1.618 1.000 1.536 9. What is the sum of trigonometric ratios Sin 33 and Sin 57? 0.545 1.000 1.090 1.383 10. What is the sum of trigonometric ratios Cos 16 and Cos 74? 0.276 0.961 1.237 1.922 11. In △ABC, vertex C is a right angle. Which trigonometric ratio has the same trigonometric value as Sin A? Sin B Cosine A Cosine B Tan A 12. In △ABC, Tan ∠A = 3/4. The hypotenuse of △ABC is 3 4 5 9 13. In △ABC, Sin ∠B = 14/17. The hypotenuse of △ABC is 14 17 √485 0.824 14. In △ABC, Cos ∠C = 22/36. The hypotenuse is 22 36 0.611 2√445 Circle whether each answer is True or False. 15. The sum of the sine of an angle and the cosine of its complement is always greater than 1.000. True False 16. The trigonometric ratio of sin 45, cos 45, and tan 45 are equal. True False