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Given \( f(x)=\cos (x) \), find \( f\left(\frac{3 \pi}{2}\right) \)

Ask by Weaver Mccarthy. in the United States
Feb 27,2025

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\( f\left(\frac{3 \pi}{2}\right) = 0 \)

Solución

Substitute \( x=\frac{3 \pi}{2} \) into the expression \( \cos (x) \). Evaluate the expression by following steps: - step0: Evaluate: \(\cos\left(x\right)\) - step1: Substitute: \(\cos\left(\frac{3\pi }{2}\right)\) - step2: Calculate the trigonometric value: \(0\) The value of \( f\left(\frac{3 \pi}{2}\right) \) is 0.

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The Deep Dive

To find \( f\left(\frac{3 \pi}{2}\right) \) for the function \( f(x) = \cos(x) \), simply substitute \( \frac{3 \pi}{2} \) into the function. Since we know that \( \cos\left(\frac{3 \pi}{2}\right) = 0 \), we find: \[ f\left(\frac{3 \pi}{2}\right) = \cos\left(\frac{3 \pi}{2}\right) = 0. \] So, the answer is: \[ f\left(\frac{3 \pi}{2}\right) = 0. \]

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