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What is the range of sin x and cos x?

What is the range of sin x and cos x?

Note that the domain of the function y=sin(x) ) is all real numbers (sine is defined for any angle measure), the range is −1≤y≤1 . The graph of the cosine function looks like this: The domain of the function y=cos(x) is all real numbers (cosine is defined for any angle measure), the range is −1≤y≤1 .

What is range of Cos X?

-1 to 1
So, the domain of cos(x) is all real numbers. Also, the value of cos(x), depending on the point on the circle, can go to a maximum of 1 at x = 0 degrees and a minimum of -1 at x = 180 degrees. So, the range of cos(x) is from -1 to 1.

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What is range of sin x?

The graph of y=sin(x) is like a wave that forever oscillates between -1 and 1, in a shape that repeats itself every 2π units. Specifically, this means that the domain of sin(x) is all real numbers, and the range is [-1,1].

What is the general solution of sin x cos x is equal to 1?

The general solution of the trigonometric equation sin x+cos x = 1 is given by: (1) x = 2nπ; n=0, ±1, ±2…

What is the domain of sin x and cos x?

The two trigonometric ratios sin x and cos x are defined for all real values of x. So, the domain for sin x and cos x is all real numbers.

What is the range of sin and cosine?

−1,1
The range of both the sine and cosine functions is [−1,1]. The sine and cosine of an angle have the same absolute value as the sine and cosine of its reference angle. The signs of the sine and cosine are determined from the x- and y-values in the quadrant of the original angle.

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How do you find the range of sine?

The function f(x) = sin x has all real numbers in its domain, but its range is −1 ≤ sin x ≤ 1. The values of the sine function are different, depending on whether the angle is in degrees or radians. The function is periodic with periodicity 360 degrees or 2π radians.

What is the range of Cos inverse X?

[0,π]
The domain of the inverse cosine function is [−1,1] and the range is [0,π] .