Question

5. (15 points) Find the exact value of the following. A decimal answer or an answer with no work will receive no credit. Circle your final answer. a. cos G) - b. sin (1) cos(3- c. sin(255") - sin(15) - d. cosítan"'(-7)) = e tan" (cot (3) - 6. (6 points) Write the following trigonometric expression as an algebraic expression in cos (tan: (2014 )

Answer 1

solution :- 5. aj cos (74) = cos ( 39 + 4) = cos( + ) {cos(A+B) = Cos A Cos B - Sin A Sin B] = cos y Cosy - Sin a single = a) (+)-15e) () Cos(92) = 2 ore VG B) sin(149 Cos (54) = sin (B3% +3%) cos(x2) { SIRA + SinB = 2 Sin(A+B) cos(AB)} = ei sin cos ( ) = te Sin Sige + Sin = 5 [sin large + Sin ] = [sin (3t+1)+1] = [-sin +1] = Ź [2+]

9 Sin (2559) -- Sin (150) = sin (180+759) – Sin (150) = - Sin 750). Sin (150) = - [sin 75+ Sin 1509 şsina + sinB = 2 Sin (8+3) Cos(953) } =-2 Sin (35+15) cos(75-15) = -2 sin ( Cos (5) =-2 Sin 45° cos zou =-215) (2) d] Cos (tant" (-7)) Let y = tan-(-7) tany= -7 siny =-7 Cos y Sinky - 49 Sinzy +1 = 49+1 costy Sinky + Cosly 50 Coszy Io = 50 Coszy Cosly

cosay = so Cosy a tato tsson y = cosa! (5.a) Cos (tan-(-7) = cos(cos-11-12) es tan-" ( cot (24)) = tan-" (cort (a + = tant Etan (5/6) = tan-" (tan l - x)) = -1 6 cos (tan't you see)) let Y= tant il y a tang = when Sort Jet - uz siny Coszy 81-42 seperti yang ti = umeeti

Sinky + Cosly -= Coszy - 42+81-u². 81-u? coszy = a u cos2y = 81-4² 8 Cosy = + 581-425 y = cos-i (+ JB154?) cos (tan-! (veu) = cos ( cost! (+ 584-u?)) 1 I J81-42