### Home > INT2 > Chapter 4 > Lesson 4.2.3 > Problem4-83

4-83.

While Baljeet is organizing his binder, he finds a conjecture that he wrote for problem 3-81: If one angle of a right triangle has the slope ratio $\frac { a } { b }$, then the complementary angle has a slope ratio of $\frac { b } { a }$. Homework Help ✎

1. How can Baljeet update the conjecture using the name of the trig ratio that corresponds to the slope ratio?

Draw a sketch of a right triangle with the sides labeled correctly.

$\sin(\theta)=\frac{\text{opp.}}{\text{hyp}.}$ and $\cos(\theta)=\frac{\text{adj.}}{\text{hyp.}}$