Question

Solve for x. cos(2x - 4) = sin(6x)
A. x = 20 B. x = -11 C. x = 10.75 D. x = 11.75

Answer 1

correct answer is D. x=11.75

Answer 2

The correct option is D)
`x=11.75`

Explanation:

We need to find out the value of x in the provided function;

`\cos (2x-4)= \sin (6x)` .......(1)

Since,
`\cos (90-\theta)= \sin \theta`

So, we can replace
`\sin (6x)= \cos (90-\theta)` in equation(1)

`\cos (2x-4)= \sin (6x)`

`\cos (2x-4)=\cos (90-6x)`

comparing the trigonometric ratio

so,

`2x-4=90-6x`

add both the sides by 6x,

`2x-4+6x=90`

`8x-4=90`

add both the sides by 4,

`8x=94`

Divide both the sides by 8,

`x=(94)/(8)`

`x=11.75`

Therefore, the correct option is D)
`x=11.75`