Question

given that cos(3x+30)=sin(1/2x-45) find the value of x

Answer 1

Answer: 30

Step-by-step explanation:

cos(3x+30)=sin(1/2 x-45)

We know the property cosФ=sin(90-Ф)

sin(90-(3x+30))=sin(x/2-45)

90-3x-30=x/2-45

60=x/2+3x-45

105=(x+6x)/2

210=7x

x=30