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cos((3pi)/(4)+x)-cos((3pi)/(4)-x) = -sqr...

`cos((3pi)/(4)+x)-cos((3pi)/(4)-x) = -sqrt(2)sinx`

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To solve the equation \( \cos\left(\frac{3\pi}{4} + x\right) - \cos\left(\frac{3\pi}{4} - x\right) = -\sqrt{2} \sin x \), we will follow these steps: ### Step 1: Apply the Cosine Addition and Subtraction Formulas Using the cosine addition and subtraction formulas, we can express the left-hand side: \[ \cos(a + b) = \cos a \cos b - \sin a \sin b ...
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