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Cos 2 Theta Calculator

Math

Calculate cos(2 * theta), the cosine of a double angle, using trigonometric double angle identities.

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cos(2*theta)

0.173648

The cosine of double the input angle.

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Odeh Ahwal

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Odeh Ahwal
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Frequently Asked Questions

What is the double angle formula for cosine?

cos(2*theta) can be written three equivalent ways: cos^2(theta) - sin^2(theta), 1 - 2*sin^2(theta), or 2*cos^2(theta) - 1. All three always give the same result.

Why are there three different versions of the formula?

Each version is more convenient depending on what you already know: the sin^2/cos^2 versions are useful when only one of sine or cosine is known for the original angle.

How is this related to the sin 2 theta calculator?

They are companion double-angle identities, both derived from the sum formulas by setting the two added angles equal to each other, one for sine and one for cosine.

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