Question

Question 7 Write the product as a sum or difference of trigonometric functions. 2 sin 5x sin 13x 1 (cos 18x + cos 8x) cos 8x - cos 18x sin 18x+ sin 8x cos 18x + cos 8x

Answer 1

2 Sina Song with asinsa Sim137 Solution we know that - 2 Sen Casa - Cos 8 = Sim sumbat Solution We know that Cos( A-6) - Gx 1+8) - 2 Sim A Simp get we A = 5x 8=132 So Cos( 54-132) - Caf 5 +133) = 2 Sims 4 Sm3 % Cas(-88) - 6618x) = 2 Insa Smi32 We know Cos(-o) - Casco & Cas(-8x) = Cassa (98(8 x) Cos(10x) - Sensa Simiy

C= Phase Shift is to his reborde Solution General Equation of Sime or Casime funekon as 7. Asin(B (x-())+d Y- Aces( 012-c))+d A = Amplitude Ymax - Yomin Period - 27 B ΟΥ 2 d= vertical staft - Ymax tymm 2 from Graph Mo Symax=5 Ymin=-5 yo - Getty ( 21 ) - (16) A = 5-(- 5-5 2 from Gerefu Period is a 21 27 2 rebro (61) 6) 160) 3 B 8= 3

d = Ymax of Ymin 2 d = S-5 2 d=0 C- Hax shift = for Sene funcker cs Yo Asen(8(4-0)) to Yo 5 Som[3(x-1))+d 42-5 Som[3(1-x) Y-5Sim(3x) Cle Ansues.