Simplify -2sin(4(x+pi/4))

Problem

−2*sin(4*(x+π/4))

Solution

1. Distribute the constant 4 inside the argument of the sine function.

−2*sin(4*x+4⋅π/4)

2. Simplify the product inside the argument.

−2*sin(4*x+π)

3. Apply the trigonometric identity sin(θ+π)=−sin(θ) where θ=4*x

−2*(−sin(4*x))

4. Multiply the constants to find the final simplified form.

2*sin(4*x)

Final Answer

−2*sin(4*(x+π/4))=2*sin(4*x)

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