Question

What are the values of the trigonometric ratios for this triangle?

Drag the answer into the box to match each ratio.


sinθ =
cosθ =
tanθ =
Answer options:
5/4, 3/4, 3/5, 4/3, 4/5, 5/3

Answer 1

Explanation:

As we the trigonometric ratios of the triangle are represented as

`sin\theta =(height)/(hypotenuse)`

`cos\theta =(Base)/(hypotenuse)`

`tan\theta =(height)/(base)`

Now we put the values of height , base and hypotenuse from the given triangle.

`sin\theta =(3)/(5)`

`cos\theta =(4)/(5)`

`tan\theta =(3)/(4)`

Now we can place the answers at the right place.

Answer 2

we know that
sinθ =opposite leg/hypotenuse
cosθ=adjacent leg/hypotenuse
tanθ =opposite leg/adjacent leg

in this problem for angle θ
opposite leg= 3
adjacent leg=4
hypotenuse=5
so

the answers are
sinθ =3/5
cosθ=4/5
tanθ =3/5