What is expand (2pi)/(365)(90-101) ?

The solution to expand (2pi)/(365)(90-101) is -(22pi)/(365)

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expand (2pi)/(365)(90-101)

expand

\frac{2 π}{365} (90 - 101)

- \frac{22 π}{365}

Solution steps

\frac{2 π}{365} (90 - 101)

Apply the distributive law:

a (b - c) = ab - a c

a = \frac{2 π}{365}, b = 90, c = 101

= \frac{2 π}{365} \cdot 90 - \frac{2 π}{365} \cdot 101

= 90 \cdot \frac{2 π}{365} - 101 \cdot \frac{2 π}{365}

Simplify

90 \cdot \frac{2 π}{365} - 101 \cdot \frac{2 π}{365} : - \frac{22 π}{365}

= - \frac{22 π}{365}

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What is expand (2pi)/(365)(90-101) ?
The solution to expand (2pi)/(365)(90-101) is -(22pi)/(365)