Question

Look at the figure below: an image of a right triangle is shown with an angle labeled y If sin y° = 7 divided by q and tan y° = 7 divided by r, what is the value of cos y°?

Answer 1

Answer:

Cosy° = $\frac{r}{q}$

Step-by-step explanation:

From the picture attached,

By applying all trigonometric ratios in the given right triangle,

Siny° = $\frac{7}{q}$ = $\frac{\text{Opposite side}}{\text{Hypotenuse}}$

tany° = $\frac{7}{r}$ = $\frac{\text{Opposite side}}{\text{Adjacent side}}$

Therefore, Cosy° = $\frac{\text{Adjacent side}}{\text{Hypotenuse}}$

Cosy° = $\frac{r}{q}$

Therefore, Cosy° = $\frac{r}{q}$ will be the answer.