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Question
\frac{\sin\left(\theta \right)\tan\left(\theta \right)}{\sec\left(\theta \right)}
Simplify the expression
\sin^{2}\left(\theta \right)
Evaluate
\frac{\sin\left(\theta \right)\tan\left(\theta \right)}{\sec\left(\theta \right)}
\text{Use }\sec t = \frac{1}{\cos t}\text{ to transform the expression}
\frac{\sin\left(\theta \right)\tan\left(\theta \right)}{\frac{1}{\cos\left(\theta \right)}}
Multiply by the reciprocal
\sin\left(\theta \right)\tan\left(\theta \right)\cos\left(\theta \right)
\text{Use }\tan t = \frac{\sin t}{\cos t}\text{ to transform the expression}
\sin\left(\theta \right)\times \frac{\sin\left(\theta \right)}{\cos\left(\theta \right)}\times \cos\left(\theta \right)
Multiply the terms
\sin\left(\theta \right)\cos\left(\theta \right)\times \frac{\sin\left(\theta \right)}{\cos\left(\theta \right)}
\text{Cancel out the common factor }\cos\left(\theta \right)
\sin\left(\theta \right)\sin\left(\theta \right)
Solution
\sin^{2}\left(\theta \right)
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