SOLUTION: Verify that tan theta/ sec theta= sin theta

Question 709264: Verify that tan theta/ sec theta= sin theta
Answer by jsmallt9(3758) (Show Source): You can put this solution on YOUR website!
When you are not sure how to prove a Trig identity (like this), it can be helpful to convert any tan's, cot's, sec's and/or csc's into equivalent expressions in terms of of sin and/or cos.

With tan = sin/cos and sec = 1/cos your equation becomes:

We can simplify the fractions within a fraction on the left side bu multiplying the numerator and denominator of the "big" fraction by :

The cos's cancel:

leaving:

which simplifies to:

And we're finished!
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