1. 5-Minute Check Lesson 5-2

2. Graphing calculator: Convert 52.125º to degrees, minutes and seconds.

3. Lesson 5-2: Trigonometric Functions LEQ –
How do you solve for missing measurements of right triangles?
Describe the 6 basic trig functions and how they relate to a right triangle.
Hypotenuse
Leg
Sine
Cosine
Tangent
Cosecant
Secant
Cotangent
Lesson 5-2:
Trigonometric
Functions

4. Problem
A six foot tall birdwatcher is looking at a bird at the top of a tree. He spots the bird at an angle of elevation of 40 degrees. If he is 50 feet from the tree, how tall is the tree?

5. Trigonometric Functions
y=sin θ (sine)
y=cos θ (cosine)
y=tan θ (tangent)
y=csc θ (co-secant) = 1/sin θ
y=sec θ (secant) = 1/cos θ
y=cot θ (co-tangent) = 1/tan θ
θ-Greek letter theta used to represent angles

7. Problem
A six foot tall birdwatcher is looking at a bird at the top of a tree. He spots the bird at an angle of elevation of 40 degrees. If he is 50 feet from the tree, how tall is the tree?

8. Practice #1
Find the six trig function values of angle A. C 7 B A 6

9. Practice #2 Practice #3 Practice #4 If sin x = 2/3, find the cos x.
If sec x = 5/4, find the tan x.
Practice #4
If csc x = 6, find the sin x.

10. Practice #5 Practice #6 Find the sin 30º.
Find the cosine value of the following angles using your table or your calculator:
5º, 10º, 15º, 20º, 25º, 30º, 35º
STOP HERE FOR TODAY

11. 45º
60º
90º
45º
90º
30º

12. 45º
60º
90º
45º
90º
30º

13. Co-Functions sinθ=cos(90º-θ) cosθ=sin(90º-θ) tanθ=cot(90º-θ)
cotθ=tan(90º-θ)
cscθ=sec(90º-θ)
secθ=csc(90º-θ)

14. Practice #7 Practice #8 If the cosθ=0.4, what is the sin(90º-θ)?
If the cosθ=0.5, what is the cot(90º-θ)?