Trigonometric functions

Build-up of trigonometric functions:

If you know two intersection points, with the same y-value that that is 2/4 of the period

Mİdlİn e 
1 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

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)

ΤΤ/3 
2 ττ/3

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: