Answer:
7
Step-by-step explanation:
Given the expression
cos(3x-30°)=sin(7x+50°)
In trigonometry cosx = sin(90-x)
Hence
Cos(3x-30) = sin(90-(3x-30))
Cos (3x-30) = sin(90-3x+30)
Cos (3x-30) = sin(120-3x)
Substitute into the expression above
Sin(120-3x) = sin(7x+50)
120-3x = 7x+50
Collect like terms
-3x-7x = 50-120
-10x = -70.
x = 70/10
x = 7
Hence the value of x is 7
