Use the image below to answer the following question. Find the value of sin x° and cos y°. What relationship do the ratios of si

Question

2 years ago

6

n x° and cos y° share?

1 answer:

kozerog [31] · Answer 1 · 2023-05-06T11:15:15+03:00

The ratios of sin x° and cos y° are 15/8.

We have given that,

Use the image below to answer the following question.

We have to determine to find the value of sin x° and cos y°.

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

<h3>What is the Pythagoras theorem?</h3>

(Hypotenuse)² = (leg 1)² + (leg 2)²

PO² = (15)² + 8²

PO² = 225 + 64

PO = √289

PO = 17

By applying the sine rule in the given triangle,

sin(x°) = Opposie side/hypotenous

= 15/17

cos(y°) = Adjucent side/hypotenous

= 8/17

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

$\frac{sinx}{cosx} =\frac{\frac{15}{17} }{\frac{8}{17} }$

$=\frac{15}{8}$

Therefore the ratios of sin x° and cos y° are 15/8.

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