Question

if sin theta=12/13 and theta is an acute angle, find cot theta

Answer 1

If theta is an acute angle, that means that it is less than 90. That means it is in the first quadrant.

Answer 2

In the first quadrant, that angle looks like this:

Answer 3

Now the sin of an angle is the side opposite over the hypotenuse, so that is like this, back to our angle drawing, ...

Answer 4

cotangent is the reciprocal of tangent. How do you find the tangent, first of all?

Answer 5

You need to solve for the missing side. Do you know how to go about that?

Answer 6

You're gone now, I see. Hmmm...

Answer 7

the tangent ratio of that angle is 12/5, so the cotangent is 5/12, the reciprocal.

Answer 8

There's the answer, even though you don't seem to care.