Which of the following is true about the graph of the function $$ f(x)=\sin (x) $$ ? SELECT ALL THAT APPLY a The outputs are the sine value for the given rotation. b The inputs are the angle of rotation. c The input and output values come from the unit circle. dhe inputs are the sine value for the given rotation. e The outputs are the angle of rotation.

Question

UpStudy AI · Accepted Answer

To analyze the function $$ f(x) = \sin(x) $$, let's evaluate each statement one by one:

a. **The outputs are the sine value for the given rotation.**
   - This statement is true. The function $$ f(x) = \sin(x) $$ gives the sine value for the angle $$ x $$ (in radians).

b. **The inputs are the angle of rotation.**
   - This statement is also true. The input $$ x $$ represents the angle of rotation in radians.

c. **The input and output values come from the unit circle.**
   - This statement is true as well. The sine function is defined based on the unit circle, where the input $$ x $$ corresponds to an angle, and the output $$ f(x) $$ corresponds to the y-coordinate of the point on the unit circle at that angle.

d. **The inputs are the sine value for the given rotation.**
   - This statement is false. The inputs are angles, not sine values.

e. **The outputs are the angle of rotation.**
   - This statement is false. The outputs are the sine values, not the angles.

Based on this analysis, the true statements about the graph of the function $$ f(x) = \sin(x) $$ are:

- a. The outputs are the sine value for the given rotation.
- b. The inputs are the angle of rotation.
- c. The input and output values come from the unit circle.
The true statements about the graph of $$ f(x) = \sin(x) $$ are: - a. The outputs are the sine value for the given rotation. - b. The inputs are the angle of rotation. - c. The input and output values come from the unit circle.

Upstudy AI Solution

Answer

Solution

The Deep Dive

Related Questions

Latest Trigonometry Questions