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f(x)=sin(3x+1)−6−5−4−3−2−10123456−3-2.5−2-1.5−1-0.500.511.522.53xy

Exercise

Step-by-step Solution

1

Using the sine of a sum formula: sin⁡(α±β)=sin⁡(α)cos⁡(β)±cos⁡(α)sin⁡(β)\sin(\alpha\pm\beta)=\sin(\alpha)\cos(\beta)\pm\cos(\alpha)\sin(\beta), where angle α\alpha equals 3x3x, and angle β\beta equals 11

cos⁡(1)sin⁡(3x)+sin⁡(1)cos⁡(3x)\cos\left(1\right)\sin\left(3x\right)+\sin\left(1\right)\cos\left(3x\right)

Final answer to the exercise

cos⁡(1)sin⁡(3x)+sin⁡(1)cos⁡(3x)\cos\left(1\right)\sin\left(3x\right)+\sin\left(1\right)\cos\left(3x\right)

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sen(3x+1)
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