How to solve sides in Right Triangles?

Question

I am working with solving for a side when given another side and an angle. I have greatly improved with determining what trig function to use(sin, cos, tan), though am confused as to why sometime to arrive at an answer I multiply, ex: 7(tan)45 and other times I have to divide, ex 7/(tan)45

What information is being given that determines whether I derive an answer by multiplying or dividing?

Answer 1

The angle is T for theta

sin T = opposite/ hypotenuse ---> opposite = sine T * hypotenuse

cos T = adjacent / hypotenuse ---> adjacent = cos T * hypotenuse

tan T = opposite / adjacent ---> opposite = tan T * adjacent

Now based on the given, you can solve for whatever you like