Question

Q4.1 OPTION A 10 Points Compute tan sin Note: Your answer will be an expression in terms of x. "Magic formulas" not taught in this class are not allowed for this problem. Please select file(s) Select file(s) Q4.2 OPTION B 10 Points Let a and ß be two acute angles in Quadrant I such that 5 tan(a) = and 12 sec(B) = 17 8 Calculate sin(a - 28).

Answer 1

Q.41) To compute tan (sin" (4) tan(sintl (4/2)) = sin (sin" (4/2)) cos(sin" (4/4)) 4 - {cos?o VI sin? (sin (4) cos = 1-sin?o 4 v- 4 α 2 -42, Q4.2) Since and B are acute angles in Quadrant I. (All here means sin, cosa, of a and R) all are tve Given tana- 5 12 sec da 11+ tanza 1+ 52 T2² - 13 12

=> cos a = seca 12 13 seca =) sin x = Si-cosa S- 122 132 ✓ 13²-12² 13² 5 13 lipolly sec B- 17 =) cos & 8 17 >> sin h = 5 - 8 h 1225 289 15 17 Now sin &-2B) = sina cos 2 B - cos a sin 26 a sina (2205² -1) - cosa 2 sin & Losse 1912 - ) - 12.2.15 172 8 17 17 5(129-299) - 12.240 13.17? 3685 3757