Build-up of trigonometric functions:
If you know two intersection points, with the same y-value that that is 2/4 of the period
![Sine Fu nction
I. Continuous
2. Period: 2m
3. Domain: All real numbers
4. Range: I]
5. Amplitude: I
6. Odd: sin ( —s) — —
Cosine Function
I. Continuous
2. Period: 2m
3. Domain: All real numbers
4. Range: I]
5. Amplitude: I
6. Even: cos( s) — coss
Tangent Function
I. Period: IT
2. Domain: All real numbers except
(7/2) + km, where k is an integer
3. Range: All real numbers](https://usercontent.one/wp/www.javalite.com/wp-content/uploads/2020/09/image-84.png)
Periodic function:
f(x) = f(x+T)
A function that repeats itself
Ex.
(Trigonometric functions are all periodic)
Period:
1 up and 1 down
Ex.
Sin(x)
Graphing of Trigonometric functions:
Amplitude is pretty easy to graph as the first point is 1, so simply just multiply the amplitude by the y-intercept
Even and Odd properties of trigonometric functions:
| Sin(x) | Odd |
| Cos(x) | Even |
| Tan(x) | Odd |
| Csc(x) | Odd |
| Sec(x) | Even |
| Cot(x) | Odd |
Translate degrees to radians:
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