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Which case cosine function becomes zero?

Updated: 10/17/2024
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βˆ™ 12y ago

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For an angle of 90 or 270 degrees. In radians, pi / 2 and 3 x pi / 2.

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Q: Which case cosine function becomes zero?
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Related questions

How does the tangent function relate to sine and cosine?

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


What is the cosine of 90 degrees?

The cosine of 90 degrees is zero.


What is the cosine of zero?

It is 1.


What is the value cosine 90?

Zero


What are the zeros in sine and cosine function?

A "zero of a function" is a point where the dependent value (usually, Y) is zero. In the function f(x) = x2 - 2, for example, there are zeroes at -1.414 and +1.414.The zeroes of the sine function are at all integer multiples of pi, i.e. 0, pi, 2pi, 3pi, etc. The zeroes of the cosine function are at the same points plus pi/2, i.e. pi/2, 3pi/2, 5pi/2, etc.Another way to look at this is that the zeroes of sine are the even multiples of pi/2, and the zeros of cosine are the odd multiples of pi/2.


What is cos 90?

Cosine of 90 degrees is zero.


What are the domains of sine cosine and tangent?

The domain of a function is the set of values of the independent variable for which the function is valid. In practice, this is the allowable values of X or, in this case, theta. The sine and cosine functions have a domain of all numbers from negative infinity to positive infinity. The tangent function, however, is sine(theta) / cosine(theta). Cosine(theta) has value of zero at theta equal to pi / 2, 3pi/2, 5pi/2, ... in the positive direction, and -pi/2, -3pi/2, -5pi/2, ... As a result, tangent(theta) is undefined at these values, so the domain of tangent is all numbers from negative infinity to positive infinity except all numbers n pi/2 where n is odd.


Is tangent sine divided by cosine?

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


What is a sine in mathematics?

A function that depends on the value of an angle. One way to define it is with a unit circle (a circle with center in the coordinate origin, and radius of 1). To the right is zero, from there, a positive angle is counterclockwise. In this case, the sine is simply the y-coordinate, and the cosine is the x-coordinate of the point on the circle where the ray of the angle crosses the circle. The value of the sine (and cosine) obviously depends on the angle - that's why it is considered a "function". Sine, cosine, tangent, cotangent, cosecans, and secans can also be defined via right triangles; for more details see here: http://en.wikipedia.org/wiki/Sine#Sine.2C_cosine_and_tangent


What is the exponent of ten beyond which statistical probability becomes zero?

Although it's not clear which distribution you're referring to, I sense that I know what you mean. This is one of those situations where a function is only asymptotically zero, which is to say that it reaches zero only in the limit. But, no matter how large the exponent is, it never actually reaches zero; therefore, the probability never becomes zero. It only becomes extremely small.


When is secant not defined?

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).


What are the values of theta of which secant theta is undefined?

Since secant theta is the same as 1 / cosine theta, the answer is any values for which cosine theta is zero, for example, pi/2.