Question

2.(07.01 HC)

Answer 1

Answer:

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°) = $\frac{\text{Opposite side}}{\text{Hypotenuse}}$

          = $\frac{15}{17}$

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

           = $\frac{8}{17}$

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

$\frac{\text{sin(x)}}{\text{cos(x)}}=\frac{\frac{15}{17} }{\frac{8}{17} }$

        $=\frac{15}{8}$