Is Sinx defined for all real numbers?

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 .

Why is the domain of sin x all real numbers?

As we understand, the sin(x) is defined as the opposite divided by the hypotenuse. For this unit circle, at any point, sin(x) is equal to opposite / 1. This measure of opposite can be defined for all the points on the circle, indicating that the angle x can take any value. So, the domain of sin(x) is all real numbers.

How is sin x defined?

In any right triangle, the sine of an angle x is the length of the opposite side (O) divided by the length of the hypotenuse (H).

How do you find the sine of a real number?

To calculate the sine of an angle in a right triangle, you always divide the length of the side opposite the angle by the length of the hypotenuse of the angle.

What is the domain of sin x?

all real numbers
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].

Where is cosine defined?

English Language Learners Definition of cosine : the ratio between the long side (called the hypotenuse) and the side that is next to an acute angle in a right triangle.

What is sine of a value?

For a right triangle with an acute angle, θ, the sine value of this angle is defined to be the ratio of the opposite side length to the hypotenuse length. Opposite: the side opposite θ. Hypotenuse: the longest side of the triangle opposite the right angle.

What is the definition of real numbers with examples?

Real numbers are numbers that include both rational and irrational numbers. Rational numbers such as integers (-2, 0, 1), fractions(1/2, 2.5) and irrational numbers such as √3, π(22/7), etc., are all real numbers.