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