sin(arctan(4/3))
I'll draw the triangle below.
part 1: Find the measure of the hypotenuse of this triangle.

part 2: Angle theta is the angle whose tangent is 4/3. Find the sine of angle theta.

Question

sin(arctan(4/3))
I'll draw the triangle below.
part 1: Find the measure of the hypotenuse of this triangle.

part 2: Angle theta is the angle whose tangent is 4/3. Find the sine of angle theta.

anonymous · Answer

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psymon · Answer

Right, it wants to know the sine of a triangle that has a tangent of 4/3. So now you just need to find the hypotenuse by pythagorean theorem.

anonymous · Answer

oh my gosh, how did I not know that!? Wow that was such an obvious answer! haha! I was totally thinking of some complicated method!

psymon · Answer

Lol, yeah, nothing crazy xD

anonymous · Answer

I know what to do now for the next part, thanks so much! :)

ybarrap · Answer

This is a 3-4-5 triangle. Now that you know hypotenuse, Solve:$ \tt 5\sin)\theta)=4 $ for $ sin(\theta$) and you're done.