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Because it is the 'Complimentary' Sine curve. , hence the name 'CoSine'.

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lenpollock

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βˆ™ 1mo ago
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βˆ™ 10y ago

It does not necessarily do so.

f(x) = cos(x + 2) will not start at 1.

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Q: Why does cosine graph always start at 1?
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Related questions

What is the difference between a sine graph and a cosine graph?

Oh, dude, it's like asking the difference between a hot dog and a hamburger. So, like, the main difference is just a phase shift of 90 degrees. Sine starts at zero, cos starts at one, but they're basically like two sides of the same math coin.


How does the graph of the cosine function differ from a graph of a sine function?

the graph of cos(x)=1 when x=0the graph of sin(x)=0 when x=0.But that only tells part of the story. The two graphs are out of sync by pi/2 radians (or 90°; also referred to as 1/4 wavelength or 1/4 cycle). One cycle is 2*pi radians (the distance for the graph to get back where it started and repeat itself.The cosine graph is 'ahead' (leads) of the sine graph by 1/4 cycle. Or you can say that the sine graph lags the cosine graph by 1/4 cycle.


Why are the sine and the cosine of an acute angle always less than 1?

Well, the easiest way to go at it is simply to remember thatthe sine and cosine of any angle are always less than 1 .


What is cosine of 1?

Cosine of 1 degree is about 0.999848. Cosine of 1 radian is about 0.540302.


Can cosine x equal -3?

No.-1


Which trigonometric functions always have values less than 1?

The sine and the cosine are always less than one.


What is the domain of the cosine function?

-1<cosine<1


What is cosine 0?

Cosine (0) = 1 Sin(0) = 0 The sine and cosine curves are two intertwining curves, that complement each other, hence the words 'Sine (Curve) and Cosine ( COmplementary Curve).


What is the range of the cosine function?

The cosine function, like all of the trigonometric functions, is periodic about the rotation around a circle. Since the cosine is defined as the adjacent/hypotenuse of a right triangle, you can clearly see that its value can never be greater than one or less than -1 since the hypotenuse is always longer than the adjacent side. It turns out that, indeed, the cosine's range is from -1 to 1, written [-1,1].


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

it would be secant, 1/cosine


What is cosine of 2 X 3.1416?

The cosine of 2pi is 1. In fact, for every integer N, the cosine of 2 N pi is 1.


Why does sec 0 equals 1?

Secant is 1 over cosine and cosine 0 equals 1.