Question

Find all solutions to the equation below in the interval [0, 27). Give all answers as decimals rounded to 3 places, separated by commas. - 3 sin(B) + 36 sin(B) - 18 = 0) BA Preview

Answer 1

2-3 Sinß + 36 Sin? B 3 18 20 for 257 - 3 Sin B + 36 sin² ß -18=0,OL B L25 Let Sinßzu -Bu +36 6² -1820 hange ring by couadratic formula ",,2= -bt √2²-vac Sadanie - 3 -(-3) + Viesya-4x136 *(-18) - 2x36 3+ √2601 22 D 3+ 51 S line uz 3+5) U₂ = 3-5) 72 72 u, = Substitute back sinB = 3 u= - sin ß Sinß = -2 I first case Sin ß = 3 oL BL25 ß = aresin ( 3 4 ) +i nn, ß = ñ- arcsin ( 2 ) +25h

I for interval OSALZñ make a gresin (3) Benz - arcsinta 1 B = 0.84 ß= ñ - 0184 I Second Case ar to i sin ß= -2, oss B = ansin (-2), os ßs20 ß = n + arosin ( 2 , B = -aircsin ( 2 ) + 25 p= - 2 of B.225 ß = ñ+ 0.72 B = - 0.72 +2 ñ all solutions st B = 6.84 ñt 0.72 ß = ñ- 0.814 iß = B = - 0,72 +27