Kepler Insight School of Science and Arts P.G. Almendras St., Poblacion, Danao City, Cebu 6th Monthly Exam (January)- MATHEMATICS 9 Name: ________________________________________ Date: ________ Score: _______ Directions: Read and follow the instructions carefully. Test I. Write the letter of the correct answer on the space provided using capital letter. For items 1-5: In the given triangle, X, Y, Z are the angles with Z as the right angle, and x, y, z are X the lengths of the sides. z z y \ \ Y Y YZ x \ ___ 1) Which angle is acute? \ Y I. ∠𝑋 II. ∠𝑌 Y a. I, II, and III b. I and II only ___ 2) Using ∠𝑋, which is the “adjacent” side? I. x II. Y a. I only b. II and III only ___ 3)Which ratio is equal cos Y? 𝑥 𝑥 a. b. 𝑦 𝑧 ___ 4) Which ratio is equal to csc X? 𝑥 𝑥 a. b. 𝑧 𝑦 III. ∠𝑍 c. II only d. I and III only III. Z c. II only d. I and II only c. c. 𝑦 𝑦 𝑧 𝑧 𝑥 d. d. 𝑦 𝑥 𝑦 𝑥 ___ 5) Which trigonometric ratio is equal to ? 𝑧 a. csc Y b. sin Y c. tan Y d. cot Y ___ 6)Which trigonometric ratios make a pair of reciprocals? I. sin A and cos A II. tan A and cot A III. sec A and csc A a. I only c. III only b. II only d. I and III only For items 7-12: 4 Given that sin 𝐴 = . 5 ___ 7) What is the measure of the third side? a. 1 b. 2 c. 3 d. 4 ___ 8) What is cos 𝐴 ? 3 3 5 5 a. b. c. d. 5 4 4 3 ___ 9) What is cot A? 5 4 3 3 a. b. c. d. 3 3 4 5 ___ 10) What is csc A? 3 3 5 5 a. b. c. d. 5 4 4 3 ___ 11) What is sec A? 3 3 5 5 a. b. c. d. 5 4 4 3 ___ 12) What is tan A? 4 3 5 5 a. b. c. d. 3 4 4 3 ___ 13) Given that c and d which are the legs, and e as the hypotenuse. What is the value of e when 𝑐 = 18 and 𝑑 = 80? a. 81 b. 82 c. 83 d. 84 ___ 14) What is tan 45? a. 0 ___ 15) What is sec 45? a. 0 b. √2 2 b. 1 1 c. 1 d. c. √2 d. √3 2 Test II. Find the other 5 trigonometric ratios of B, given the following: Take note: 2 pts. for the illustration (including the value of the unknown side) and 1 point for each trigonometric ratio. 1) sin 𝐵 = 11 2. cos 𝐵 = 61 5 3) sec 𝐵 = 7 Test III. Find the numerical value of the following: 1) tan 30 _____ 3) csc 45 _____ 2) sin 60 _____ 4) cot 60 _____ 29 11