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Exercise

xπ3 sin⁡(x)sin⁡(x)+cos⁡2(x)x\frac{\pi}{3}\:\frac{\sin\left(x\right)}{\sin\left(x\right)+\cos2\left(x\right)}

Step-by-step Solution

1

Multiplying fractions πx3×sin⁡(x)sin⁡(x)+cos⁡(2x)\frac{\pi x}{3} \times \frac{\sin\left(x\right)}{\sin\left(x\right)+\cos\left(2x\right)}

πxsin⁡(x)3(sin⁡(x)+cos⁡(2x))\frac{\pi x\sin\left(x\right)}{3\left(\sin\left(x\right)+\cos\left(2x\right)\right)}

Final answer to the exercise

πxsin⁡(x)3(sin⁡(x)+cos⁡(2x))\frac{\pi x\sin\left(x\right)}{3\left(\sin\left(x\right)+\cos\left(2x\right)\right)}

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Main Topic: Equivalent Expressions

Two algebraic expressions are equivalent if they stay equal to each other, for any values their variables can take.

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xπ3  sin(x)sin(x)+cos2(x) 
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