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[tex]\int\cos^{2}{\theta} \,d\theta[/tex]

- Thread starter tandoorichicken
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- #1

- 244

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[tex]\int\cos^{2}{\theta} \,d\theta[/tex]

- #2

phy

- #3

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[tex]

cos^2 \theta = \frac{1 + cos 2\theta}{2}

[/tex]

When the cosine function is raised to an even integer, say for example 4,

[tex]

cos^4 \theta = (cos^2)^2 = (\frac{1 + cos 2\theta}{2})^2

[/tex]

For the sine function, use the identity

[tex]

sin^2 \theta = \frac{1 - cos 2\theta}{2}

[/tex]

A word of Caution. When doing this method do not forget to double your angle ^_^

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