Question

Use the image below to answer the following question. Find the value of sin x° and cos y°. What relationship do the ratios of sin x° and cos y° share? (Show Work)

Answer 1

Answer:

$\frac{15}{8}$

Step-by-step explanation:

By applying Pythagoras theorem in the triangle given in the picture,

(Hypotenuse)² = (leg 1)² + (leg 2)²

PO² = (15)² + 8²

PO² = 225 + 64

PO = √289

PO = 17

By applying sine rule in the given triangle,

sin(x°) = $\frac{Opposite Side}{Hypotenuse}$

=$\frac{15}{17}$

cos(y°) = $\frac{Adjacent Side}{Hypotenuse}$

Relation between the ratio of sin(x) and cos(x) will be,

$\frac{sin(x)}{cos(x)}$= $\frac{15/17}{18/17}$

= $\frac{15}{8}$