What is range of sin x cos x?

Domain of both sinx and cosx is (-∞,∞) . the domain of the funtion f(x) will the the intersection of the two domains which comes out to be (-∞,∞) ie., x can take any real value ranging from -∞ to +∞. Therefore, the domain is (-∞,+∞).

What is the range of f/x )= cosx sinx?

[−1,1]

What is the domain of Sinx COSX?

In the above six trigonometric ratios, the first two trigonometric ratios sin x and cos x are defined for all real values of 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 X in domain and range?

The domain of a function f(x) is the set of all values for which the function is defined, and the range of the function is the set of all values that f takes. They may also have been called the input and output of the function.)

How do you find the range of sine and cosine?

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 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.

What is the range of the function f(x) = sin x?

The range of f(x) = sin x and f(x)= cos x will lie from -1 to 1, including both -1 and +1, i.e.-1 ≤ sin x ≤1-1 ≤ cos x ≤1; Now, let us discuss the function f(x)= tan x. We know, tan x = sin x / cos x. It means that tan x will be defined for all values except the values that will make cos x = 0, because a fraction with denominator 0 is not defined.

What is the domain of sin x and cos x?

cos x ∈ [-1,1] Hence, for the trigonometric functions f (x)= sin x and f (x)= cos x, the domain will consist of the entire set of real numbers, as they are defined for all the real numbers. The range of f (x) = sin x and f (x)= cos x will lie from -1 to 1, including both -1 and +1, i.e. -1 ≤ sin x ≤1

What is the range of sec x if sin x is 0?

The range of sec x will be R- (-1,1). Since, cos x lies between -1 to1, so sec x can never lie between that region. cosec x will not be defined at the points where sin x is 0.

What is the range and domain of sine function?

Therefore, Hence, we got the range and domain for sine function. Hence, for the trigonometric functions f (x)= sin x and f (x)= cos x, the domain will consist of the entire set of real numbers, as they are defined for all the real numbers. The range of f (x) = sin x and f (x)= cos x will lie from -1 to 1, including both -1 and +1, i.e.