RECALL:
I. 45° ? 45° ? 90° Triangle:
Note:
???????? ?????? ???? ?????????? ???? ???????? ??????????
?????? ???????????????????? = ??? × ??????
NAME:
II. 30° ? 60° ? 90° Triangle:
Note:
???????????????????? (?????????????? ????????) = ?? × ???????????????? ????????
???????????? ???????? = ??? × ???????????????? ????????
Determine trig function values of an angle ??. Step 1: Draw ?? in standard position. Step 2: Pick a point on the terminal side of ??, connect it to the x-axis. Step 3: Determine x, y, and r of the point using the properties of an appropriate triangle
Step 4: Use definition of Trig function for ?? to evaluate trig function value of ??
2
Show step by step for the following problems. Determine 6 trig function
values of the following angle ??.
1. ?? = 0° Step 1: Draw ?? in standard position.
Step 2 : Pick a point on the terminal side of ??, connect it to the x-axis
Step 3: Determine x, y, and r of the point using the properties of an appropriate triangle
Step 4: Use definition of Trig function for ?? to evaluate trig function value of ??
cos (0°) = ??
?? =
?????? 0° = ??
?? =
?????? 0° = ??
?? =
?????? 0° = ??
?? =
sec 0° = ??
?? =
csc 0° = ??
?? =
3
2. ?? = 30° Step 1: Draw ?? in standard position. Step 2 : Pick a point on the terminal side of ??, connect it to the x-axis
Step 3: Determine x, y, and r of the point using the properties of an appropriate triangle Step 4: Use definition of Trig function for ?? to evaluate trig function value of ??
cos (30°) = ?????? ( ) = ?????? ( ) = ?????? ( ) = sec ( ) = csc ( ) =
4
3. ?? = 45° Step 1: Draw ?? in standard position. Step 2 : Pick a point on the terminal side of ??, connect it to the x-axis
Step 3: Determine x, y, and r of the point using the properties of an appropriate triangle Step 4: Use definition of Trig function for ?? to evaluate trig function value of ??
cos (45°) = ?????? ( ) = ?????? ( ) = ?????? ( ) = sec ( ) = csc ( ) =
5
4. ?? = 60° Step 1: Draw ?? in standard position. Step 2 : Pick a point on the terminal side of ??, connect it to the x-axis
Step 3: Determine x, y, and r of the point using the properties of an appropriate triangle Step 4: Use definition of Trig function for ?? to evaluate trig function value of ??
cos (60°) = ?????? ( ) = ?????? ( ) = ?????? ( ) = sec ( ) = csc ( ) =
6
5. ?? = 90°
Step 1: Draw ?? in standard position. Step 2 : Pick a point on the terminal side of ??, connect it to the x-axis
Step 3: Determine x, y, and r of the point using the properties of an appropriate triangle
Step 4: Use definition of Trig function for ?? to evaluate trig function value of ??
cos (90°) = ?????? ( ) = ?????? ( ) = ?????? ( ) = sec ( ) = csc ( ) =
7
6. ?? = 120° Step 1: Draw ?? in standard position. Step 2 : Pick a point on the terminal side of ??, connect it to the x-axis
Step 3: Determine x, y, and r of the point using the properties of an appropriate triangle
Step 4: Use definition of Trig function for ?? to evaluate trig function value of ??
cos (120°) = ?????? ( ) = ?????? ( ) = ?????? ( ) = sec ( ) = csc ( ) =
8
7. ?? = 135° Step 1: Draw ?? in standard position. Step 2 : Pick a point on the terminal side of ??, connect it to the x-axis
Step 3: Determine x, y, and r of the point using the properties of an appropriate triangle
Step 4: Use definiti
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