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A right angle triangle has three sides and three interior angles one of which is 90 degrees. The names of its sides are the adjacent the opposite and the hypotenuse and using the 3 trig ratios we can find the interior angles or lengths of the sides depending on the information given.

Tangent angle = opposite/adjacent

Sine angle = opposite/hypotenuse

Cosine angle = adjacent/hypotenuse

If we are given the lengths of 2 sides we can work out the angles with the above ratios.

If we are given a length and an angle we can work out the lengths of the other 2 sides by rearranging the above ratios.

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Q: What are the 3 trig ratios and how do they work?
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Related questions

What are trig ratios?

Trig ratios or to give them their proper name are trigonometrical rations applicable to right angle triangles and they are tangent ratio, sine ratio and cosine ratio.


Can trig ratios only be used on right triangles?

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The three basic ratios are sine, cosine and tangent.In a right angled triangle,the sine of an angle is the ratio of the lengths of the side opposite the angle and the hypotenuse;the cosine of an angle is the ratio of the lengths of the side adjacent to the angle and the hypotenuse;the tangent of an angle is the ratio of the lengths of the side opposite the angle and the the side adjacent to the angle.


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Why is calculus important to trigonometry?

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