-1/2pi * sin(3pi/2)

asked by guest
on Nov 25, 2024 at 12:22 am



You asked:

Evaluate the expression: \(\frac{-1}{2 \cdot \pi} \cdot \sin\left( \frac{3 \cdot \pi}{2} \right)\)

MathBot Answer:

\[\frac{-1}{2 \cdot \pi} \cdot \sin\left( \frac{3 \cdot \pi}{2} \right) = \frac{1}{2 \pi} \approx 0.15915494309189533576888376337251\]

\[\begin{aligned}\frac{-1}{2 \cdot \pi} \cdot \sin\left( \frac{3 \cdot \pi}{2} \right)& = - \cdot \frac{1}{2 \cdot \pi} \cdot \sin{\left(3 \cdot \frac{\pi}{2} \right)}\\& = - \cdot \frac{1}{2} \cdot \frac{1}{\pi} \cdot \sin{\left(3 \cdot \frac{\pi}{2} \right)}\\& = - \cdot \frac{1}{2} \cdot \frac{1}{\pi} \cdot \sin{\left(\frac{3}{2} \cdot \pi \right)}\\& = - \cdot \frac{1}{2} \cdot \frac{1}{\pi} \cdot -1\\& = - \frac{1}{2} \cdot \frac{1}{\pi} \cdot -1\\& = \frac{1}{2} \cdot \frac{1}{\pi}\end{aligned}\]

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