Question

1299845 Exom 1 part1: a) evolucite the folloiong truy functions at lyk ¿ = 28.4 Vl cos B i sina vilsinß iii) tand villl off wl cota vii) tan B b) of les is in Quadrant Ill, what is sind? ita = 72 B = 37 evaluate the the following using trigrome identity a) sin (x+B) b) ton (2x)

Answer 1

1 QI) 1411 6. and ß = 28T 8 (i) Cosa = cos(141) = cos(211+34) = Cos II = 16 (Cosatto) = Cost 67 zloso) : Cosa= 1=0.5 (ii) sind=sin (147) z Bosin (BT+ 2) sin 27to) = singer zsino) - sind = S7 = 0.866 - Sénith 2 33/4 zu3 (iii) Tanda send cosa Tg Tamd=53=10732 1 . 2 (iv) Cota Tond 0.577 ... Cotaa 50.5 (V). Cosp = cos (2811) = cos(317+45) 2 acos (4) Cos(35 +0) -co) (.: 720) Cosp 2 -Cos o

2 (vi) sinß esin (37740 = sin(285 = -sin (47) (sin (BT+O) 2-sin II =- sino =- 1 c. see I 21) i super 2-1 (VII). Tamp Coop Tamp=2 (VIII) Cotp= 2 2 Toup - Cotp=0 Rf Caso = -3 & O is in Il Qudsent. Seno=1 We have sometno=1ysino=1-ci seno #l-co #1-1-25 2481-944 sino = I3 Give o is in Moudrat sine value negative sino-JS 3

If a = 11 4 82311 (a). sin(a+p) we have Kelentity sin(atp) = sinacoup toolsing Sin (p= ID)) * Tank Sem 34 zsen (IT + 1) = -sein to Sin 37 seift toz-sino Solso Con مولا - 1 c. Sen II 21) Cos 31 2 lg (IT + 1) = -cost (conto)=-668) Cossu ao substitute for above values in sin(atp sin (p) = (50)+(x-1) Sen (2+3) 2-1/2 (b) Tam(22) = &Tand (- : Identity) aXJI ( Tan I253) l-Taña 2x Tom II N 2 1- Tania 1-(53) 253 252 2-53 1-3 Tana22-03