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Math 113 Quiz 3 Name___________________________________ Show all work in order to receive full credit. 1) 9) sin π 17 2 10) csc 5 Use the triangle for find the value of the six trigonometric functions at θ. π 12 Let θ be an angle in standard position. Name the quadrant in which the angle θ lies. 11) tan θ < 0, sin θ < 0 sinθ = __________ csc θ = _________ cos θ = __________ sec θ = _________ Find the exact value of the indicated trigonometric function of θ. 8 Find sin θ. 12) cos θ = , tan θ < 0 9 tan θ = __________ cot θ = _________ For problems 2 - 6 find the function value of the trigonometric function. Use the Unit Circle, draw the appropriate right triangle and then evaluate the function. 2) sec 60° = 3) cot 2 π = 3 4) sin 240° = 5) tan 315° = 6) cos 7 13) cot θ = - , cos θ < 0 2 5 π = 6 Find a cofunction with the same value as the given expression. 7) cos 17° 8) tan 52° 1 Find csc θ. Sin t and cos t are given. Use identities to find the indicated value. Where necessary, rationalize denominators. 11 5 14) sin t = - , cos t = - . Find cot t. 6 6 Solve the problem. 15) A radio transmission tower is 200 feet tall. How long should a guy wire be if it is to be attached 14 feet from the top and is to make an angle of 23° with the ground? Give your answer to the nearest tenth of a foot. 2 Answer Key Testname: 113QZ3 CH4STUFF 1) sin θ = 2 29 29 2) 2 3) 3 3 4) 2 3 3 5) 3 6) 2 7) sin 73° 8) cot 38° 15π 9) cos 34 10) sec 5π 12 11) quadrant IV 17 12) - 9 13) 53 2 14) 5 11 11 15) 476.0 feet 3