Evaluate trigonometric functions given a point

1
EXAMPLE 1
Evaluate trigonometric functions given a point
SOLUTION
Use the Pythagorean theorem to find the value of
r.
5
2
EXAMPLE 1
Evaluate trigonometric functions given a point
Using x 4, y 3, and r 5, you can write the
following
3
EXAMPLE 2
Use the unit circle
SOLUTION
4
EXAMPLE 2
Use the unit circle
1
1
undefined
0
undefined
0
5
for Examples 1 and 2
GUIDED PRACTICE
SOLUTION
Use the Pythagorean Theorem to find the value of
r.
6
for Examples 1 and 2
GUIDED PRACTICE
1
1
7
for Examples 1 and 2
GUIDED PRACTICE
SOLUTION
Use the Pythagorean theorem to find the value of
r.
17
8
for Examples 1 and 2
GUIDED PRACTICE
Using x 8, y 15, and r 17, you can write
the following
9
for Examples 1 and 2
GUIDED PRACTICE
SOLUTION
Use the Pythagorean theorem to find the value of
r.
13
10
for Examples 1 and 2
GUIDED PRACTICE
Using x 5, y 12, and r 13, you can write
the following
11
for Examples 1 and 2
GUIDED PRACTICE
4. Use the unit circle to evaluate the six
trigonometric functions of ? 180.
SOLUTION
Draw the unit circle, then draw the angle ?
180 in standard position. The terminal side of ?
intersects the unit circle at (1, 0), so use x
1 and y 0 to evaluate the trigonometric
functions.
12
for Examples 1 and 2
GUIDED PRACTICE
1
0
undefined
1
undefined