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Question
\frac{\cos\left(\theta \right)\sec\left(\theta \right)}{\cot\left(\theta \right)}
Simplify the expression
\tan\left(\theta \right)
Evaluate
\frac{\cos\left(\theta \right)\sec\left(\theta \right)}{\cot\left(\theta \right)}
Transform the expression
More Steps
Evaluate
\cos\left(\theta \right)\sec\left(\theta \right)
\text{Use }\sec t = \frac{1}{\cos t}\text{ to transform the expression}
\cos\left(\theta \right)\times \frac{1}{\cos\left(\theta \right)}
\text{Cancel out the common factor }\cos\left(\theta \right)
1\times 1
Multiply the terms
1
\frac{1}{\cot\left(\theta \right)}
\text{Use }\cot t = \frac{\cos t}{\sin t}\text{ to transform the expression}
\frac{1}{\frac{\cos\left(\theta \right)}{\sin\left(\theta \right)}}
Multiply by the reciprocal
1\times \frac{\sin\left(\theta \right)}{\cos\left(\theta \right)}
Any expression multiplied by 1 remains the same
\frac{\sin\left(\theta \right)}{\cos\left(\theta \right)}
Solution
\tan\left(\theta \right)
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