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Exercise

2+2sin⁡(a)cos⁡(a)+sin⁡(a)cos⁡(a)\frac{2+2\sin\left(a\right)}{\cos\left(a\right)+\sin\left(a\right)\cos\left(a\right)}

Step-by-step Solution

1

Factor the polynomial cos⁡(a)+sin⁡(a)cos⁡(a)\cos\left(a\right)+\sin\left(a\right)\cos\left(a\right) by it's greatest common factor (GCF): cos⁡(a)\cos\left(a\right)

2+2sin⁡(a)cos⁡(a)(1+sin⁡(a))\frac{2+2\sin\left(a\right)}{\cos\left(a\right)\left(1+\sin\left(a\right)\right)}

Final answer to the exercise

2+2sin⁡(a)cos⁡(a)(1+sin⁡(a))\frac{2+2\sin\left(a\right)}{\cos\left(a\right)\left(1+\sin\left(a\right)\right)}

Try other ways to solve this exercise

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  • Verify if true (using algebra)
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  • Product of Binomials with Common Term
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