Question

Find the value of x in the equation sin(5x) = COS40

Answer 1

To find the value of x in the equation sin(5x) = cos(40), we can use the properties of trigonometric functions and solve for x.

Since sin(θ) = cos(90° - θ), we can rewrite the equation as:

sin(5x) = sin(90° - 40°)

Now, we can equate the angles:

5x = 90° - 40°

Simplifying further:

5x = 50°

Dividing both sides by 5:

x = 10°

Therefore, the value of x in the equation sin(5x) = cos(40) is 10°.

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