Cos^3化簡

Question

Cos^3化簡

Accepted Answer

∻Solution by Steps∻ ‖ step 1 ⋮ We start by simplifying $\cos^3(x)$. ‖ ‖ step 2 ⋮ Using the trigonometric identity, we have: $\cos^3(x) = \frac{1}{4} (3 \cos(x) + \cos(3x))$. ‖ ‖ step 3 ⋮ Another way to express $\cos^3(x)$ is using the exponential form: $\cos^3(x) = \frac{1}{8} (e^{-ix} + e^{ix})^3$. ‖ ∻Answer∻ ⚹ $\cos^3(x) = \frac{1}{4} (3 \cos(x) + \cos(3x))$ or $\cos^3(x) = \frac{1}{8} (e^{-ix} + e^{ix})^3$ ⚹ ∻Key Concept∻ ⚹Simplification of $\cos^3(x)$ using trigonometric identities and exponential form⚹ ∻Explanation∻ ⚹The simplification of $\cos^3(x)$ can be achieved using trigonometric identities or by expressing it in terms of exponential functions. Both methods provide equivalent results.⚹◊Can you simplify $cos^3(x)$ using any trigonometric identities?⍭ Generate me a similar question◊

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