Factor
\frac{\tan(\theta )\left(\cos(\theta )+1\right)}{2}
Evaluate
\frac{\tan(\theta )\left(\cos(\theta )+1\right)}{2}
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\sin(\theta )\left(1+\frac{1}{\cos(\theta )}\right)
Consider \sin(\theta )+\tan(\theta ). Factor out \sin(\theta ).
\frac{\sin(\theta )\left(1+\frac{1}{\cos(\theta )}\right)}{2}
Rewrite the complete factored expression.
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