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A cosine of a triangle is the length of the leg adjacent to a specific angle divided by the hypotenuse. Another way of putting it is that a cosine of an angle is x/r, or the x-coordinate of the endpoint divided by the distance of the endpoint from the origin. In trigonometry, if this angle were to be zero radians or zero degrees, the triangle would become a short, flat line pointing directly to the right. In that case, the distance of the endpoint from the origin and the x-value of this point are one and the same. Thus, the ratio between them is 1, and the cosine of zero is 1.
Also, the power series for cosine is as follows (where the angle is in radians):
cos(x) = 1 - x^2/2 + x^4/24 - x^6/720 - x^8/40320 + ...
(The denominators are the factorials of even numbers.) If you put x=0, you get cos(0)=1.
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Why does sec 0 equals 1?
Secant is 1 over cosine and cosine 0 equals 1.
Sine plus cosine equals?
There is no real significance to sine plus cosine, now sin2(x) + cos2(x) = 1 for any x, where sin2(x) means to take the sign of the number, then square that value.
What does -3 with an exponent of 0 equals?
1. Any number to the power of 0 is 1.
4x2 plus 2x equals?
Assuming that 4x2+2x = 0: 2x (2x+1) = 0 2x = 0 or 2x+1 = 0 x = 0 or -1/2
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.
