Question

5 4 If tan = and coto= find the exact value of sin(0-0). 9 Note: Be sure to enter EXACT values 1 You do not need to simplify any radicals. sin(0-0)- 2 If cosa = 0.369 and cos B 0.195 with both angles' terminal rays in Quadrant-l, find the values of (a) sin(a +B) = (b) sin(B-a) = Your answers should be accurate to 4 decimal places. Give exact answers 2 sin(a) = and cos(B) 4 5 Both angles terminate in Quadrant II 3 sin(a + B) = cos(a + B) = Give exact answers 3 sin(a) and cos(B) 8 5 Angle a terminates in Quadrant II, and Angle B terminates in Quadrant IV sin(a - b) = cos(a - b) = Please give breakdown of how you would find answer with a calculator.

Answer 1

1) Answer sino = tan 85 and cot &=4% Jos et 22 h sin d = vatten valtio je I Cos = cos: now burs. 0507 - 0509.gups = (-) mis 2 29 X 97 20 2813 2813 2 = 0.03771 2013 2) Answer cosa = 0.369 and cosß = 0.195 ad = 605 (0.369) ß = wil(0.195) a: 68.3460 :: ß = 78.9553 now sin (a+B) - Sin (68.3460+78.7553) = sin(147.1013) . 0.5432 sin (B-d) sin (78.7553-68.3460) = sin (10.4093) = 0.1907 AMI

3) sind and casso = -4/ e) a = sia'(7) po cos(4/5) :. ed = 163.4 .:B 143.13 both an in I quadront given Now sim (atm): sin ( 168.4 +143:18) sin ( 306.53) :- 0.8035 Cos(a+B) = cos(163.4 +193.13) = cos (306:53) 0.5952 4) sind : 3 and cosB=415 Bacon' (4/5) ::$ = 323.13 sin' (2) iid : 157.98 (given ß belongs to I-Q) given & belongs II quadrant) How sin(a-pl = sin(157.98 - 323.13 ) = sin(-165.15) : -0.2563 cos(a-p) = cos(157.98- 323.13 ) = cos(-165.15) = -0.947