sin theta/cos theta*tan theta=sin/cos*sin/cos=sin/sin=1
In this problem, we are trying to simplify. To simplify the problem, we have to find a way to reduce what is given to you throught using formulas and what not. To even be able to solve this problem, you have to know that tangent is sin/cos. If you don't know that, you will have a hard time trying to solve the problem. Other formulas are sec which is 1/cos, csc which is 1/sin, and cot which is cos/sin. For this problem the only formula you needed to know was tangent. Now you have to find a way to cancel out things to reduce the example. So we do sin over cos times sin over cos, which is tangent. Then we can cancel out the two cos' at the bottom of the faction and now we have sin over sin. Sin over sin also cancels out and now you are left with 1. 1 is your answer.
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