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Trigonometric expressions

There are 3 problems. The first and second problem are with the dotted lines both are division problems. I am looking for the expression for each.

1) Sin(x + B) + cos( x - B)
--------------------------- =
Cos(x + B) - sin(x - B)

2.) Tan2x + sin2x =
-----------------
Tan2x

3.) Cos^2( x + B) - cos^2 ( x - B) =

Solution Summary

This shows how to do a variety of operations with trigonometric functions.

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