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Popular >

simplify ((1+cos(2θ))/2)dθ

Solution

simplify

(\frac{1 + cos ( 2 θ )}{2}) d θ

Solution

cos^{2} (θ) d θ

Solution steps

(\frac{1 + cos ( 2 θ )}{2}) d θ

Remove parentheses:

(a) = a

= \frac{1 + cos ( 2 θ )}{2} d θ

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{( 1 + cos ( 2 θ ) ) d θ}{2}

Simplify

1 + cos (2 θ) : 2 cos^{2} (θ)

= \frac{2 cos ^{2} ( θ ) d θ}{2}

Divide the numbers:

\frac{2}{2} = 1

= cos^{2} (θ) d θ

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Frequently Asked Questions (FAQ)

What is ((1+cos(2θ))/2)dθ ?
The solution to ((1+cos(2θ))/2)dθ is cos^2(θ)dθ