Answer:
Value of x is, 11
Step-by-step explanation:
Using the trigonometry identity :
[tex]\sin (90-\theta)=\cos \theta[/tex]
As per the statement:
Solve for x.
[tex]\cos(6x) = \sin(3x - 9)[/tex]
Apply the trigonometry identity we have;
[tex]\sin (90-6x) = \sin (3x-9)[/tex]
On comparing both sides we have;
[tex]90-6x = 3x-9[/tex]
Add 6x to both sides we have;
[tex]90-6x+6x = 3x-9+6x[/tex]
Simplify:
[tex]90= -9+9x[/tex]
Add 9 from both sides we have;
[tex]99= 9x[/tex]
Divide both sides by 9 we have;
11= x
or
x =11
Therefore, the value of x is, 11.
Answer:
B. x = 11
Step-by-step explanation:
correct on EDGE2021
