trigonmetric
trigonmetric function
차례
- Pre-class review
- sin, cos, tan im rechtwinkeligen Dreieck
- Trigonometric functions in reality
- sound waves
- Where do the graphs of trigonometric functions come from?
- Sin(x) & Unit Circle - Degrees
- f(x)=cosx
- The advantage of radians
- radadvangtage
- Advanced Discussion
- Find the function of parameters
sin, cos, tan im rechtwinkeligen Dreieck
Definition von sin, cos und tan im rechtwinkeligen Dreieck
sin, cos, tan im rechtwinkeligen Dreieck
sound waves
Sin(x) & Unit Circle - Degrees
In this animation we plot [math]y=\sin(\alpha)[/math]. Here the label and unit on the [i]horizontal[/i]-axis is [math]\alpha[/math] in degrees. There is no unit on the [i]y[/i]-axis. The [i]y[/i]-value of the sine function for the angle [math]\alpha[/math] is the [i]y[/i]-coordinate of the point T. (Remember: the [i]y[/i]-value of the cosine function for this angle is the [i]x[/i]-coordinate of the point T.)
Sin(x) & Unit Circle - Degrees
Move the slider to α=45°. The [math]\sin(45^\circ) \approx 0.707[/math]. Do you know the exact value of [math]\sin(45^\circ)[/math]?[br]Move the slider to α=135°. The [math]\sin(135^\circ) \approx 0.707[/math]. Do you know the exact value of [math]\sin(135^\circ)[/math]?[br]Now, let α=–45°. Move the slider to the corresponding angle between 0° and 360°. The [math]\sin(–45^\circ)=\sin(315^\circ) \approx –0.707[/math]. Do you know the exact value of [math]\sin(–45^\circ)[/math]?[br]Does this agree with the fact that sin(–α)=–sin(α)?
radadvangtage
Consider what will happen if I put y = sin(x) and y =x in one x-y plane?
Find the function of parameters
Find the function of w
Can you describe the function of w?
Can you describe the function of w?[br]What's the difference of y = sin(x) and y = sin(2x)
please tell me the difference of y =sin(x) and y = sin(2x)
Can you tell me the function of a?[br]What's the difference of y = 2cos(x) and y = cos(x)?[br]
Can you tell me the function of d?[br]What's the difference of y = cos(x) + 1 and y = cos(x)?