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

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)=(Perpendicular)/(Hypotenuse)=(8)/(17)`

Case 2

`Cos(\theta)=(Base)/(Hypotenuse)=(15)/(17)`

Case 3

`Tan(\theta)=(Perpendicular)/(Base)=(8)/(15)`

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