Hi there! For this question, you need to know the ratio of sine and cosine.
- sinA = opposite/hypotenuse
- cosA = adjacent/hypotenuse
Define A = angle
opposite and adjacent side changes only if we focus on another angle.
From the picture, if we focus on angle S, the opposite would be 36. But if we focus on angle R (flip to make RT as base), see that the opposite would be 14.
Answer
- sinS = 36/42 = 6/7
- sinR = 14/42 = 1/3
- cosS = 14/42 = 1/3
- cosR = 36/42 = 6/7
The bold one is simplest form while the non-bold is non-simplest.
Questions can be asked through comment.
Hope this helps, and Happy Learning ! :)