The two trigonometric functions defined for all real numbers are the_________ function and the_______ function. The domain of each of these functions is________ .

necessaryh

necessaryh

Answered question

2021-02-13

The two trigonometric functions defined for all real numbers are the ? function and the ? function. The domain of each of these functions is ? .

Answer & Explanation

Nichole Watt

Nichole Watt

Skilled2021-02-14Added 100 answers

The sine function is one of the three primary functions in trigonometry, nthe others being cosine and tan functions.
The sine x or sine theta can be defined as the ratio of the opposite side of a right triangle to its hypotenuse.
and
Cos function (or cosine function) in a triangle is the ratio of the adjacent side to that of the hypotenuse.
The cosine function is one of the three main primary trigonometric functions and it is itself the complement of sine(cos+sine).
The domain of a function is the set of all possible inputs for the function.
For example:
the domain of f(x)=x2 is all real numbers, and the domain of g(x)=1x is all real numbers except for x=0.
The two trigonometric functions defined for all real numbers are the sine function and the cosine function. The domain of each of these functions is(,).

Jeffrey Jordon

Jeffrey Jordon

Expert2021-10-12Added 2605 answers

sine and cosine. The other four functions are periodic and at some values of the input variable would be undefined.
Jeffrey Jordon

Jeffrey Jordon

Expert2021-12-14Added 2605 answers

Answer is given below (on video)

RizerMix

RizerMix

Expert2023-06-19Added 656 answers

The two trigonometric functions defined for all real numbers are the sin function and the cos function. The domain of each of these functions is (,).
nick1337

nick1337

Expert2023-06-19Added 777 answers

Answer:
The sine (sin) and cosine (cos) functions are fundamental trigonometric functions defined for all real numbers. Their domains encompass the entire set of real numbers.
Explanation:
The sine function (sin) is defined as the ratio of the length of the side opposite a given angle in a right triangle to the length of the hypotenuse. In a unit circle (a circle with a radius of 1 unit), the sine of an angle is equal to the y-coordinate of the point on the unit circle that corresponds to that angle.
The cosine function (cos) is defined as the ratio of the length of the adjacent side to the length of the hypotenuse in a right triangle. In a unit circle, the cosine of an angle is equal to the x-coordinate of the corresponding point on the unit circle.
The domain of both the sine and cosine functions is the set of all real numbers. This means that you can plug in any real number as an angle into these functions, and they will output a real number as a result. The values returned by the sine and cosine functions can be positive or negative, depending on the quadrant in which the angle lies.

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