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(cos⁡(x)+sin⁡(x))(cos⁡(x)−csc⁡(x). −sin⁡(x))(cos⁡(x).sin⁡(x))(csc⁡(x).cos⁡(x))\frac{\left(\cos\left(x\right)+\sin\left(x\right)\right)\left(\cos\left(x\right)-\csc\left(x\right).\:-\sin\left(x\right)\right)}{\left(\cos\left(x\right).\sin\left(x\right)\right)\left(\csc\left(x\right).\cos\left(x\right)\right)}

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Final answer to the exercise

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

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(cos(x)+sin(x))(cos(x)−csc(x). −sin(x))(cos(x).sin(x))(csc(x).cos(x)) 
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