Transparencias de mi curso de Cálculo diferencial.

1. Day 6
1. Trigonometry review

2. Day 6
1. Trigonometry review
I have something that might help you remember some of
the things you learned in Trigonometry

3. 2. La cumbia matemática

4. 2. La cumbia matemática

5. 2. La cumbia matemática

6. 4. Trigonometry review

7. 4. Trigonometry review
Do you remember the Unit Circle?

8. 4. Trigonometry review
Do you remember the Unit Circle?
Handout.

9. 4. Unit Circle
y
(0, 1)
(-1, 0) (1, 0)
x
(0, -1)

10. 4. Unit Circle
π
2
y 3 ⎞ π
2π ⎛ − 1 , 3 ⎞ (0, 1)
⎛ 1 ,
3 ⎝ 2 2 ⎠ ⎝ 2 2 ⎠ 3
3π ⎛ − 2 , 2 ⎞ ⎛ 2 , 2 ⎞ π
4 ⎝ 2 2 ⎠ ⎝ 2 2 ⎠ 4
5π ⎛ − 3 , 1 ⎞ ⎛ 3 , 1 ⎞ π
6 ⎝ 2 2 ⎠ ⎝ 2 2 ⎠ 6
(-1, 0) (1, 0)
π 2π
x
7π ⎛ − 3 , − 1 ⎞ ⎛ 3 , − 1 ⎞ 11π
6 ⎝ 2 2 ⎠ ⎝ 2 2 ⎠ 6
5π ⎛ − 2 , − 2 ⎞ ⎛ 2 , − 2 ⎞ 7π
4 ⎝ 2 2 ⎠ ⎝ 2 2 ⎠ 4
4π ⎛ − 1 2 , − 3 2 ⎞ ⎛ 1 , − 3 ⎞ 5π
3 ⎝ ⎠ 3π (0, -1) ⎝ 2 2 ⎠ 3
2

11. 5. Trigonometric Functions of Special Angles
Find the exact values of all six basic trigonometric functions
if
(a) θ = 5π/6 (b) θ = 315o

12. 7. Homework
Find the exact values of the six basic trigonometric
functions of the following angles:
(a) θ = -5π/6 (b) θ = π/3
(c) θ = -π (d) θ = 180o
(e) θ = 90o (f) θ = 360o
(g) θ = 5 π/3 (h) θ = -11 π/6