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trigRevsolns - Math 1205 Trigonometry Review Answer Sheet 1...

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Math 1205 Trigonometry Review Answer Sheet Name: ANSWER KEY 1. a. sin( 5 π 2 ) = 1 cos( 5 π 2 ) = 0 b. sin( 5 π 2 ) = 1 cos( 5 π 2 ) = 0 c. sin(360 ° ) = 0 cos(360 ° ) = 1 d. sin( π ) = 0 cos( π ) = 1 2. a. θ 1 = π 2 b. θ 2 = 5 π 2 or 9 π 2 or 13 π 2 ... or 3 π 2 or 7 π 2 or 11 π 2 ... 3. a. tan π 6 = 1 3 = 3 3 b. cot π 4 = 1 4. Quadrant(s) I & II 6. Quadrant(s) II 5. Quadrant(s) II & III 7. Quadrant(s) I, II, III, & IV (all 4 quadrants) 8. The sign of the following: sin 7 π 6 is negative, cos 7 π 6 is negative and tan 7 π 6 is positive . 9. For each of the following, give the quadrant that the angle is in, φ and the answer. a. sin( 3 π 4 ) Q III π 4 1 2 = 2 2 b. cos( 29 π 6 ) Q II π 6 3 2 c. tan(420 ° ) Q I π 3 3 d. sec( 9 π 4 ) Q IV π 4 2 e. csc(510 ° ) Q II π 6 2 f. cot( 19 π 3 ) Q I π 3 1 3 = 3 3
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