cos(5 $\pi$ /4)

asked by guest
on Oct 22, 2024 at 8:41 am



You asked:

Evaluate the expression: \(\cos\left( \frac{5 \cdot \pi}{4} \right)\)

MathBot Answer:

\[\cos\left( \frac{5 \cdot \pi}{4} \right) = - \frac{\sqrt{2}}{2} \approx -0.70710678118654752440084436210485\]

\[\begin{aligned}\cos\left( \frac{5 \cdot \pi}{4} \right)& = \cos{\left(5 \cdot \frac{\pi}{4} \right)}\\& = \cos{\left(\frac{5}{4} \cdot \pi \right)}\\& = - \frac{1}{2} \cdot \sqrt{2}\end{aligned}\]

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