1. Ch. 4 – Trigonometric Functions
4.3 – Right Triangle Trig

2. SOH CAH TOA!!! Recall your right triangle trig facts:
Ex: Find the exact values of the six trig functions of θ.
cos θ = 4/5
sec θ = 5/4
Use Pythagorean Theorem!
Opposite side = 3
sin θ = 3/5
tan θ = 3/4
csc θ = 5/3
cot θ = 4/3

3. SOH CAH TOA!!!
Ex: Find the exact values of the six trig functions of θ if sinθ = 5/6 and 0 < θ < 90°.
Draw a right triangle and label known information!
sin θ = 5/6
csc θ = 6/5
Use Pythagorean Theorem to find the third side!
Leave it in reduced radical form!

4. If , what trig function will give a value of ?
tanθ
cotθ
cosθ
cscθ
secθ

5. If , what trig function will give a value of ?
sinθ
cotθ
cosθ
cscθ
secθ

6. If , find the

7. If , find the

8. If , find the

9. If , find the

10. Trig identities!!! Ex: Use trig identities to verify the equation:
You’re being asked to prove this equation is true, so work one side out until it looks like the other side.
Tip: Work out the more complex side!
Strategy #1: Convert everything to sin and cos

11. Trig identities!!! Ex: Use trig identities to verify the equation:
Strategy #2: Make a substitution using the identity sin2 θ + cos2 θ = 1

12. Find the 6 trigonometric functions for .

13. Find the 6 trigonometric functions for .

14. Find the 6 trigonometric functions for some angle θ in the 1st quadrant.

15. Find the 6 trigonometric functions for some angle θ in the 2nd quadrant.