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Regents Exam Questions A.A.42: Trigonometric Ratios 1 www.jmap.org Name: ________________________ A.A.42: Trigonometric Ratios 1: Find the sine, cosine, and tangent ratios of an angle of a right triangle, given the lengths of the sides 3 Which ratio represents cos A in the accompanying diagram of ABC ? 1 The diagram below shows right triangle UPC. 1) Which ratio represents the sine of ∠U ? 15 15 8 8 2) 3) 4) 1) 8 17 15 17 5 12 12 13 2) 3) 4) 13 13 5 5 4 In the accompanying diagram of right triangle ABC, AB = 8, BC = 15 , AC = 17, and m∠ABC = 90 . 2 Which ratio represents sinx in the right triangle shown below? What is tan∠C ? 8 17 8 15 2) 3) 4) 1) 15 15 17 17 1) 28 28 45 53 2) 3) 4) 53 45 53 28 1 Regents Exam Questions A.A.42: Trigonometric Ratios 1 www.jmap.org 5 The diagram below shows right triangle ABC. Name: ________________________ 8 In triangle MCT, the measure of ∠T = 90°, MC = 85 cm, CT = 84 cm, and TM = 13cm. Which ratio represents the sine of ∠C ? 13 84 13 84 2) 3) 4) 1) 85 85 84 13 Which ratio represents the tangent of ∠ABC ? 5 5 12 12 2) 3) 4) 1) 13 12 13 5 9 In ABC , the measure of ∠B = 90°, AC = 50, AB = 48, and BC = 14 . Which ratio represents the tangent of ∠A? 14 14 48 48 2) 3) 4) 1) 50 48 50 14 6 The diagram below shows right triangle LMP. 10 Which equation shows a correct trigonometric ratio for angle A in the right triangle below? Which ratio represents the tangent of ∠PLM ? 3 3 4 5 1) 2) 3) 4) 4 5 3 4 1) sinA = 7 Right triangle ABC has legs of 8 and 15 and a hypotenuse of 17, as shown in the diagram below. The value of the tangent of ∠B is 1) 0.4706 2) 0.5333 3) 0.8824 4) 1.8750 2 15 8 15 2) tanA = 3) cos A = 17 17 17 5 4) tanA = 8 ID: A A.A.42: Trigonometric Ratios 1: Find the sine, cosine, and tangent ratios of an angle of a right triangle, given the lengths of the sides Answer Section 1 ANS: 2 sinU = opposite 15 = hypotenuse 17 REF: 010919ia 2 ANS: 1 opposite 28 sinx = = hypotenuse 53 REF: 011008ia 3 ANS: 1 adjacent 5 cos A = = hypotenuse 13 REF: 080414a 4 ANS: 1 opposite 8 tanC = = adjacent 15 REF: 010316a 5 ANS: 2 opposite 5 tanABC = = adjacent 12 REF: 081112ia 6 ANS: 3 opposite 4 tanPLM = = adjacent 3 REF: 011226ia 7 ANS: 2 opposite 8 tanB = = = 0.53 adjacent 15 REF: 081026ia 1 ID: A 8 ANS: 1 sinC = opposite 13 = hypotenuse 85 REF: fall0721ia 9 ANS: 2 opposite 14 tanA = = adjacent 48 REF: 061009ia 10 ANS: 3 adjacent 15 cos A = = hypotenuse 17 REF: 011008ia 2