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Home » Find the value of \( racxy \), assuming \( 2x - AMAZONAWS

Find the value of \( racxy \), assuming \( 2x - AMAZONAWS

📅 March 5, 2026 👤 scraface

Mar 05, 2026

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📌 With \( a = \sqrt{2} \), use:

📌 \[ \sqrt{2} \sin(c) = -1 \quad \Rightarrow \quad \sin(c) = -\frac{1}{\sqrt{2}} \]

📌 \[ \sqrt{2} \cos(c) = 1 \quad \Rightarrow \quad \cos(c) = \frac{1}{\sqrt{2}} \]

📌 These values correspond to \( c = -\frac{\pi}{4} \) (since \(\sin(c) = -\frac{1}{\sqrt{2}}\) and \(\cos(c) = \frac{1}{\sqrt{2}}\)).

📌 Find \( b \):

📌 The period of the function is \( \frac{2\pi}{b} \). Since \( f\left(\frac{\pi}{2b}\right) = 4 \), it indicates a quarter-period shift, consistent with \( b \) being arbitrary for simplicity. Assume one full cycle completes in \( \frac{2\pi}{b} = 2\pi \), giving \( b = 1 \).

📌 Thus, the constants are:

📌 \[\boxed{a = \sqrt{2}, \, b = 1, \, c = -\frac{\pi}{4}, \, d = 3}\]

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