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Q: How is cosine defined?

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Tangent (theta) is defined as sine (theta) divided by cosine (theta). In a right triangle, it is also defined as opposite (Y) divided by adjacent (X).

Tangent = sine/cosine provided that cosine is non-zero. When cosine is 0, then tangent is undefined.

You can choose either or but tangent which is sin/cos seems to be the most common way.

The ratio of sine and cosine.

so what you do is Soh Cah Toa, Cah for cosine so if you have a triangle you do the length of the adjacent divided by hypotenuse and the number you get (the rest depends on the calculator) you press 2nd or shift then cos button on your calculator. remember the calculator must be scientific the actual formula is cosine theta=a h then you write the numbers in and you should know the rest

Related questions

The secant of an angle is the reciprocal of the cosine of the angle. So the secant is not defined whenever the cosine is zero That is, whenever the angle is a multiple of 180 degrees (or pi radians).

Yes, except at odd multiples of pi/2 radians, where the cosine is zero so that the division is not defined.

That is how the scalar product is defined. Also, the projection of one vector onto another at an angle to it is directly proportional to the cosine of that angle.

It is cosine*cosine*cosine.

Tangent (theta) is defined as sine (theta) divided by cosine (theta). In a right triangle, it is also defined as opposite (Y) divided by adjacent (X).

Tan of pi/2 + k*pi radians, for integer k, is not defined since tan = sin/cos and the cosine of these angles is 0. Since divsiion by 0 is not defined, the tan ratio is not defined.

what is the cosine of 3.14 ?

The tangent of an angle theta is defined as sine(theta) divided by cosine(theta). Since the sine and cosine are Y and X on the unit circle, then tangent(theta) is Y divided by X. The tangent of a function at a point is the line going through that point which has slope equal to the first deriviative of the function at that point.

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

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].

The inverse of the cosine is the secant.

Reciprocal of Cosine is Secant

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