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Popular >

simplify (4/pi)(pi/2+2npi)

Solution

simplify

(\frac{4}{π}) (\frac{π}{2} + 2 nπ)

Solution

2 (4 n + 1)

Solution steps

(\frac{4}{π}) (\frac{π}{2} + 2 nπ)

Remove parentheses:

(a) = a

= \frac{4}{π} (\frac{π}{2} + 2 nπ)

Multiply fractions:

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

= \frac{4 ( \frac{π}{2} + 2 nπ )}{π}

Join

\frac{π}{2} + 2 nπ : \frac{π + 4 πn}{2}

= \frac{4 \cdot \frac{π + 4 πn}{2}}{π}

Multiply

4 \cdot \frac{π + 4 nπ}{2} : 2 (π + 4 πn)

= \frac{2 ( π + 4 πn )}{π}

Factor

π + 4 πn : π (1 + 4 n)

= \frac{2 π ( 1 + 4 n )}{π}

Cancel the common factor:

π

= 2 (4 n + 1)

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simplify (2/(x+1))^2 simplify

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Frequently Asked Questions (FAQ)

What is (4/pi)(pi/2+2npi) ?
The solution to (4/pi)(pi/2+2npi) is 2(4n+1)