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Because that is accepted definition. The sine is opposite over hypotenuse, or Y in the unit circle. The cosine is adjacent over hypotenuse, or X in the unit circle. The tangent is sine over cosine, etc. For more information, please see the related link below.

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Q: Why sine ratio is the ratio of opposite side and hypotenuse?
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Related questions

What is the ratio of side opposite over hypotenuse?

Sine ratio = opp/hyp


What is the trig ratio equal to the opposite side divided by the hypotenuse?

sine


The sine ratio of an angle is the opposite side over the adjacent side?

Opposite over hypotenuse. Sin=opposite/hypotenuse cos=adjacent/hypotenuse tan=opposite/adjacent


What is the ratio of opposite to hypotenuse?

It is the sine ratio.


What is the ratios function of sin?

The sine of an angle in a right triangle is the ratio of the length of the side opposite the angle to the length of the hypotenuse.In terms of ratios, the sine of an angle is defined, in a right angled triangle, as the ratio of lengths of the opposite side to the hypotenuse.


The sine of an angle is equal to what ratio?

Sine = opposite / hypotenuse


Is this statement true or false The sine of an angle in a right triangle is the ratio of the length of the side adjacent to that angle to the length of the hypotenuse.?

False because sine ratio = opposite/hypotenuse


What is trigonometric ratio?

A TRIGONOMIC ratio is a ratio between either the opposite side of an angle and the hypotenuse of a triangle (sine), the adjacent side of an angle and the hypotenuse of a triangle (cosine), or the opposite side of an angle and the adjacent side (tangent). Mnemonic: SOH CAH TOA S= sine C= cosine T= tangent O= opposite A= adjacent H= hypotenuse


The trigonometric ratio that compares the opposite side going to the hypotenuse is a SINE b TANGENT c Cosine?

a) sine


In trig what is the opposite side over the hypotenuse?

It is the 'sine' ratio for a right angle triangle


What is sin in trigonometry?

If you have a right triangle, the sine of an angle is the ratio of the opposite side to the hypotenuse.


Fill in the blank The ratio relates the length of the leg opposite the angle in question to the length of the hypotenuse?

This ratio is called the sine ratio for a right triangle. A simple way to remember this is by using the mnemonic 'SOHCAHTOA', where SOH stands for sine equals the ratio opposite side/ hypotenuse, COH is cosine equals adjacent side/hypotenuse, and TOA is tangent equals opposite side/adjacent side.