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Name: ________KEY___________________ Adv. Alg. Trig. OTL : The six Trigonometry Ratios Find the six trig functions of . 25 24 8 csc = sin = sin = 1) 2) 24 25 17 25 7 15 sec = cos = cos = 7 17 25 8 17 24 7 24 8 cot = tan = tan = 24 7 15 7 17 8 17 sec = 15 15 cot = 8 csc = If is an acute angle, find the unknown trigonometric value using the given information. 3) sec if cos = 1 3 4) cot if tan = 5 3 5) csc if sin = 12 13 13 12 1 5 Given the two ratios, find the other four trigonometric ratios. Use a sketch of each. All answers should be simplified and rationalized. 6) sin = 2 5 5 and cos = 5 5 7) sec = 4 and tan = 2 2 tan = 2 sin = csc = 2 2 5 2 cos = 1 4 sec = 5 1 cot = 2 csc = 2 cot = Find the exact values for each. 8) cot 390° 9) sec - 3 12) cot -270° 0 4 2 13) sec 17 4 2 10) csc Undefined 14) csc -2 7 6 11) csc 4 3 2 3 3 15) cot - 7 2 Undefined 2 4