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13y ago

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What is the cosine function about?

The cosine function is mathematical equation to determine the adjacent angle of a triangle. The cosine of an angle is the ratio of the length of the hypotenuse: so called because it is the sine of the co-angle.


What is a cosine ratio?

In a right angle triangle it is: cosine ratio = adjacent/hypotenuse


What is the ratio of adjacent to hypotenuse?

It is the cosine ratio.


What is the ratio that is the reciprocal of the cosine?

it would be secant, 1/cosine


What is the cosine of a ratio that has 0 as its numerator?

If the numerator is 0 AND the denominator is not 0, then the ratio is 0. And cosine of 0 is 1.


Which ratio describes the tangent function?

The ratio of sine and cosine.


What is the cosine ratio?

In a specific angle for a right triangle the cosine ratio is the ratio between the lengths of the adjacent side (side touching the angle) and the hypotenuse (longest side).


Does your cosine like somebody?

A cosine is a trigonometric ratio and is not capable of liking or disliking anything!


What is the ratio of the cosine of an angle?

Fora right angle triangle: cosine angle = adjacent/hypotenuse


What is a cosine?

In trigonometry, when we look at right triangles, the cosine is the ratio of the length of the adjacent side to the length of the hypotenuse.


How is cosine defined?

In a right triangle, the cosine of an angle is defined as the ratio of the adjacent side of that angle to the hypotenuse.


How do you know whether to use sin or cosine?

Here is an 'aide memoire'. SOH, CAH, TOA. Expanding this aide. SOH ; is Sine , Oppositre, and Hypotenuse. CAH ; is Cosibe, Adjacent and Hypotenuse. TOA ; is Tangent, Opposite and Adjacent. To put these in algenraic format . Sine(angle) = opposite / hypotenuse Cosine(angle) = adjcent / hypotenuse Tangent(angle) = opposite/ adjacent. And in algenraic short-hand format. Sin(angle) = O/H Cos(angle) = A/H Tan(angle) = O/A For any given Right-angled triangle, the Hypotenuse is always the side opposite to the right angle. Taking one of the other anglers. Then the Opposite is the side length oppisite to the given angle. Then the Adjacent is the side length to the given angle. NB Taking the third angle, then the opposite(O) and the adjacent(A) ' swop places. The above three equations can all be algebraically rearranged. 'Sine' is shown, bit the other two can also be rearranged. Sin(angle) = O/H H X Sin(angle) = O [Sin(angle)] / O = H Angle = Sin(-1) [O/H] or ArcSin [O/H]. An example A right angled triangle of hypotenuse '2'. and an angle of 30 degrees. Then Sin(30) = O/2 On your calculator ; Sin(30) = 1/2 or 0.5 Substituting. 1/2 = O / 2 Algebraically rearrange O = 2 X 1/2 = 2/2 = 1/1 = 1 So the opposite side is equal to '1'. Correspondingly Sin(angle) = O/H = 1/2 Then Angle = Sin^(-1)[1/2] On your calculator, using the 'inverse/arcsin' button of Sin Then angle = 30 degrees. These work for any Trig. Functions. However, for any given value of an angle, you will have some 'horrible' decimal number. Sin(79) = 0.98167183.... usuallu shortened to 4 d.p. at 0.9817. or 6 d.p. 0.981672 Hope that helps!!!!!