1. Lesson 1 sine, cosine, tangent ratios
Foundations to college algebra
Trigonometry Right Triangle Trig
Lesson 1 Objective: I will learn the definition of trigonometry, learn the ratios of , cosine and
Lesson 1 sine, cosine, tangent ratios

2. Lesson 1 sine, cosine, tangent ratios
Definitions
is the study of relationships among the angles and sides of a right triangle.
Trigonometric is the fraction that compares the of a right triangle.
Trigonometric is the specific rule (combination of sides) given by the ratio. There are a total of 6 trig functions: sine, cosine, tangent, cosecant, secant and cotangent.

3. Lesson 1 sine, cosine, tangent ratios
Each Trig function has a unique ratio of Today we will focus on the three on the left.
sin θ = opp csc θ = hyp hyp opp
cos θ = adj sec θ = hyp hyp adj
tan θ = opp cot θ = adj adj opp
An easy acronym this side is ALWAYS for this side is: the reciprocal of the function on the left
Lesson 1 sine, cosine, tangent ratios

4. Lesson 1 sine, cosine, tangent ratios
Write the trig ratios of sin, cos and tan for each of the acute angle of the right triangle. Include the formula for each function and simplify all radicals. No decimals 
Lesson 1 sine, cosine, tangent ratios 6 8
sin B =  
cos B =
tan B = A B 10
sin A =  
cos A =
tan A =

5. Lesson 1 sine, cosine, tangent ratios
Write the trig ratios of sin, cos and tan for each of the acute angle of the right triangle. Include the formula for each function and simplify all radicals. No decimals 
Lesson 1 sine, cosine, tangent ratios
sin B =  
cos B =
tan B =
sin A =  
cos A =
tan A = A
3 3 6 3 B

6. Lesson 1 sine, cosine, tangent ratios
Write the trig ratios of sin, cos and tan for each of the acute angle of the right triangle. Include the formula for each function and simplify all radicals. No decimals 
Lesson 1 sine, cosine, tangent ratios
sin B =  
cos B =
tan B = B 4
sin A =  
cos A =
tan A =
4 2 4 A

7. Lesson 1 sine, cosine, tangent ratios
Find the missing side then write the trig ratios of sin, cos and tan for each of the acute angles. Include the formula and simplify all radicals.
Lesson 1 sine, cosine, tangent ratios
1. Use a2 + b2 = c to find missing side.
2. Label hyp., opp, adj
3. Write the 3 trig ratios:
sin θ = o sin β = o h h
cos θ = a cos β = a h h
tan θ = o tan β = o a a 5 β θ 13

8. Lesson 1 sine, cosine, tangent ratios
Find the missing side then write the trig ratios of sin, cos and tan for each of the acute angles. Include the formula and simplify all radicals.
Lesson 1 sine, cosine, tangent ratios 12
1. Use a2 + b2 = c to find missing side.
2. Label hyp., opp, adj
3. Write the 3 trig ratios:
sin θ = o sin β = o h h
cos θ = a cos β = a h h
tan θ = o tan β = o a a β θ 8

9. Lesson 1 sine, cosine, tangent ratios
Find the missing side then write the trig ratios of sin, cos and tan for each of the acute angles. Include the formula and simplify all radicals.
Lesson 1 sine, cosine, tangent ratios 17
1. Use a2 + b2 = c to find missing side.
2. Label hyp., opp, adj
3. Write the 3 trig ratios:
sin θ = o sin β = o h h
cos θ = a cos β = a h h
tan θ = o tan β = o a a θ β 15

10. Lesson 1 sine, cosine, tangent ratios
In a right triangle θ and β are acute. Find the sin θ, tanθ, sin β, cos β and tan β if cos θ =
Draw a pic. Label known sides.
Find missing side a2 +b2 = c2
Write the trig functions. Simplify
sin θ = o sin β = o h h
cos θ = a cos β = a h h
tan θ = o tan β = o a a β θ

11. Lesson 1 sine, cosine, tangent ratios
In a right triangle θ and β are acute. Find sin θ, cos θ, sin β, cos β and tan β if tan θ =
Draw a pic. Label known sides.
Find missing side: a2 + b2 = c2
Write the trig functions. simplify
sin θ = o sin β = o h h
cos θ = a cos β = a h h
tan θ = o tan β = o a a β θ

12. Lesson 1 sine, cosine, tangent ratios
Homework
Trigonometry of Right Triangles Lesson 1-18 all.
Write 5 times each on paper a. Pythagorean Theorem b. sine ratio c. Cosine ratio d. tangent ratio e. SohCahToa
Lesson 1 sine, cosine, tangent ratios