Question

Please please help!
What are the values of the trigonometric ratios for this triangle?



Drag the answer into the box to match each ratio.

sinθ
cosθ
tanθ

8/15
8/17
15/17
​17/15
​​17/8​
15/8

Answer 1

What was this answer?

Answer 2

Let us solve them one by one. We will make use of the definitions of these trigonometric ratios for this triangle.

Case 1

$Sin(\theta)=\frac{Perpendicular}{Hypotenuse}=\frac{8}{17}$

Case 2

$Cos(\theta)=\frac{Base}{Hypotenuse}=\frac{15}{17}$

Case 3

$Tan(\theta)=\frac{Perpendicular}{Base}=\frac{8}{15}$

From what we have just calculated we can now easily match the two columns and write the answer.