If #sintheta=3/5#, what is #costheta + cottheta#?
First, let's remember that
So we know with this triangle that we have a side = 3 and hypotenuse = 5.
There is a special kind of right triangle called the "3, 4, 5 triangle", so called because of the ease in calculating sides using the pythagorean theorem:
And so if we didn't know or remember the "3, 4, 5 triangle", we could find it this way:
With opposite = 3, adjacent = 4, and hypotenuse = 5, we can answer the question.