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The ratio which used in trigonometry
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Trigonometric Ratios
"Trigon" is Greek for triangle , and "metric" is Greek for measurement. Thetrigonometric ratios are special measurements of a right triangle (a triangle with one angle measuring 90°90° ). Remember that the two sides of a right triangle which form the right angle are called the legs , and the third side (opposite the right angle) is called the hypotenuse .
There are three basic trigonometric ratios:sine , cosine , and tangent . Given a right triangle, you can find the sine (or cosine, or tangent) of either of the non- 90°90° angles.
sine=length of the leg opposite to the anglelength of hypotenuse abbreviated "sin"cosine=length of the leg adjacent to the anglelength of hypotenuse abbreviated "cos"tangent=length of the leg opposite to the anglelength of the leg adjacent to the angle abbreviated "tan"sine=length of the leg opposite to the anglelength of hypotenuse abbreviated "sin"cosine=length of the leg adjacent to the anglelength of hypotenuse abbreviated "cos"tangent=length of the leg opposite to the anglelength of the leg adjacent to the angle abbreviated "tan"
Example:
Write expressions for the sine, cosine, and tangent of ∠A∠A .

The length of the leg opposite ∠A∠A is aa . The length of the leg adjacent to ∠A∠A is bb , and the length of the hypotenuse is cc .
The sine of the angle is given by the ratio "opposite over hypotenuse." So,
sin∠A=acsin∠A=ac
The cosine is given by the ratio "adjacent over hypotenuse."
cos∠A=bccos∠A=bc
The tangent is given by the ratio "opposite over adjacent."
tan∠A=ab
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Trigonometric Ratios
"Trigon" is Greek for triangle , and "metric" is Greek for measurement. Thetrigonometric ratios are special measurements of a right triangle (a triangle with one angle measuring 90°90° ). Remember that the two sides of a right triangle which form the right angle are called the legs , and the third side (opposite the right angle) is called the hypotenuse .
There are three basic trigonometric ratios:sine , cosine , and tangent . Given a right triangle, you can find the sine (or cosine, or tangent) of either of the non- 90°90° angles.
sine=length of the leg opposite to the anglelength of hypotenuse abbreviated "sin"cosine=length of the leg adjacent to the anglelength of hypotenuse abbreviated "cos"tangent=length of the leg opposite to the anglelength of the leg adjacent to the angle abbreviated "tan"sine=length of the leg opposite to the anglelength of hypotenuse abbreviated "sin"cosine=length of the leg adjacent to the anglelength of hypotenuse abbreviated "cos"tangent=length of the leg opposite to the anglelength of the leg adjacent to the angle abbreviated "tan"
Example:
Write expressions for the sine, cosine, and tangent of ∠A∠A .

The length of the leg opposite ∠A∠A is aa . The length of the leg adjacent to ∠A∠A is bb , and the length of the hypotenuse is cc .
The sine of the angle is given by the ratio "opposite over hypotenuse." So,
sin∠A=acsin∠A=ac
The cosine is given by the ratio "adjacent over hypotenuse."
cos∠A=bccos∠A=bc
The tangent is given by the ratio "opposite over adjacent."
tan∠A=ab
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trigometric ratio
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