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The cosine of an angle is equal to the length of the "adjacent" side divided by the length of the "hypotenuse" of a right triangle formed by a horizontal line (called the "adjacent side"), another line (the "hypotenuse") intersecting the first line at the specified angle, and a third line (called the "opposite" side) drawn perpendicular to the first line and intersecting the second line. Note that it does not matter how far away from the angle you draw this third line, because the trigonometric functions are all ratios, and they hold true not matter how large or small the actual lengths.
Now, if the angle in question is zero degrees, then there is no difference between the first two lines (adjacent and hypotenuse). They are the same line. The distance between them, at all points, is zero. If you try to draw the third line, it will not be a line at all, but just a point, which lies on both the adjacent side and the hypotenuse. And at this point, the lengths of the adjacent side and the hypotenuse will be identical. Remember that the cosine is defined as the length of the adjacent side divided by the length of the hypotenuse. But these lengths are the same, so you're dividing a number by itself. And when you do that, the answer is always 1.
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What is cosine of 0?
In both radians and degrees cos(0) = 1.
What is the angle for cos equals 0.2874?
What is the angle with a cosine of 0.6946
What is the ratio that is the reciprocal of the cosine?
it would be secant, 1/cosine
Y equals 2x and y equals 2x-1?
Which means 0 = -1!
What is cosine to the negative first power?
[ cos(Θ) ]-1 = 1/cosine(Θ) = secant(Θ)
Why does sec 0 equals 1?
Secant is 1 over cosine and cosine 0 equals 1.
What is cosine of 0 degree?
It is 1.
What is cosine 0?
Cosine 0 is 1
What is cosine of 1?
Cosine of 1 degree is about 0.999848. Cosine of 1 radian is about 0.540302.
What is the graphic representation of cosine function?
Just like the sine function displaced by pi/2. In other words the cosine equals 1 at 0 degrees, 0 at 90 degrees, -1 at 180 and so on.
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.
What is the formula for the y-intercept of a cosine function?
The Y-Intercept of the cosine function is X = 0, Y = cosine(0) = 1.
What is the inverse of the cosine function?
The inverse of the cosine function is arcosine. The domain is −1 ≤ x ≤ 1 since the range of the cosine function is from -1 to 1. The range is from 0 to pi radians or 0 to 180 degrees.
Sin and cosine values of 0?
sin 0 = 0 cos 0 = 1
What is cosine of 0?
In both radians and degrees cos(0) = 1.
What is tangent of 0?
Zero. Tangent = sine/cosine. sin(0) = 0 and cos(0) = 1, so 0/1 = 0.
Why is it cosine 90 degrees is 0?
It helps to think as the sine and cosine as coordinates of a unit circle - a circle of radius 1, with center at the origin of the coordinates, i.e., point (0, 0). In this case, as you go around on the circle (starting at the right, coordinates (1, 0), and going counterclockwise), the cosine of the angle is simply the x-coordinate, and the sine of the angle is simply the y-coordinate. At 90°, the x-coordinate is 0, therefore the cosine is 0. Also, at 90° the y-coordinate is 1, therefore the sine is 1 (that's the maximum value it can have).
