Question

1.5sinß = sin (120-ß)

solve this for ß​

Answer 1

Answer:

Step-by-step explanation:

sin(120-β)=sin120.cosβ-cos120.sinβ=√3/2 cosβ+ 1/2sinβ

Now 1.5sinβ=3/2sinβ=√3/2 cosβ + 1/2sinβ

⇒3sinβ=√3cosβ + sinβ

⇒2sinβ=√3cosβ

⇒tanβ=√3/2

⇒β= tan^(-1) [√3/2]

⇒β= 40.9 degree or 0.714 radian