64.7k views
2 votes
Find cos if tan = -4/3 and sin < 0

User Asme Just
by
5.4k points

1 Answer

4 votes
THe first thing we need to do is find the hypotenuse. From the tangent we know that the legs of the right triangle are 3 and 4. So this 2/3 of a special right triangle (3-4-5). Thus the hypotenuse is 5. The sin is defined as
(opposite)/(hypotenuse). We know the opposite is 4 and hypotenuse is 5. Thus the sin is
- (4)/(5)
User EdgeCaseBerg
by
6.0k points