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1 Question 3 4-Make the trigonometric substitution x = a csc for 0 < < /2 and a > 0. Simplify the resulting expression. x2
1 Question 3 4-Make the trigonometric substitution x = a csc for 0 < < /2 and a > 0. Simplify the resulting expression. x2 a2 x 5-Make the trigonometric substitution x = d cot for 0 < < and d > 0. Use fundamental identities to simplify the resulting expression. d2 + x2 6-Make the trigonometric substitution x = a csc for 0 < < /2 and a > 0. Use fundamental identities to simplify the resulting expression. x2 a2 Question 7 Question 8 9-Find the exact values of sin 2, cos 2, and tan 2 for the given value of . cos = 3 5 ; 0 < < 90 sin 2 = cos 2 = tan 2 = 10-If tan = 5 and is acute, find the exact value of sin 2. 11-Find the exact values of sin(/2), cos(/2), and tan(/2) for the given conditions. sec = 5/4; 0 < < 90 sin(/2) = cos(/2) = tan(/2) = 12-Find the exact values of sin(/2), cos(/2), and tan(/2) for the given condition. csc = 5/3; 90 < < 0 sin(/2) = cos(/2) = tan(/2) = 13-Find the exact values of sin(/2), cos(/2), and tan(/2) for the given conditions. sec = 4/3; 180 < < 270 sin(/2) = cos(/2) = tan(/2) = 14-Use half-angle formulas to find the exact values. (a) cos 2230' (b) sin 75 (c) tan 12 15-Use half-angle formulas to find the exact values. (a) cos 165 (b) sin 11230' (c) tan 8 16-Find the exact value of the expression whenever it is defined. (If an answer is undefined, enter UNDEFINED.) (a) sin1 2 2 (b) cos1 1 2 (c) tan1 3 16-Find the exact value of the expression whenever it is defined. (If an answer is undefined, enter UNDEFINED.) (a) sin1 2 2 (b) cos1 1 2 (c) tan1 3 17-Find the exact value of the expression whenever it is defined. (If an answer is undefined, enter UNDEFINED.) (a) arcsin 3 2 (b) arccos 2 2 (c) arctan 3 3 18-Find the exact value of the expression whenever it is defined. (If an answer is undefined, enter UNDEFINED.) (a) arcsin 0 (b) arccos(1) (c) arctan 0 Question 19 Question 20
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