Using the Double Angle Formula for Cosine to Find the Value of cos 2x

cos 2x

To find the value of cos 2x, we can use the double angle formula for cosine

To find the value of cos 2x, we can use the double angle formula for cosine.

The double angle formula for cosine states that cos 2x = cos^2(x) – sin^2(x).

Therefore, to find the value of cos 2x, we need to know the values of cos(x) and sin(x).

If you have been given specific values of x, you can use a calculator to find the values of cos(x) and sin(x). Then, substitute those values into the formula to compute cos 2x.

For example, let’s say cos(x) = -0.5 and sin(x) = 0.866.

Substituting these values into the formula, we get:
cos 2x = cos^2(x) – sin^2(x)
= (-0.5)^2 – (0.866)^2
= 0.25 – 0.749156
= -0.499156

So, in this case, cos 2x is approximately -0.499156.

It is important to note that this is just an example, and the specific values of cos(x) and sin(x) can vary depending on the given problem.

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