9.7 Part II GEO Notes Date: Review: Special Right Triangles

9.7 Part II GEO Notes
Date: ____________________________
Review: Special Right Triangles
In a 30° − 60° − 90° Triangle,
opposite the 30° is called the _____________________ side or leg. It has a ratio of ________________.
opposite the 60° is called the _____________________ side or leg. It has a ratio of ________________.
opposite the 90° is called the ______________________________. It has a ratio of ________________.
Label the triangle below:
In a 45° − 45° − 90° Triangle
opposite the 30° is called the ___________________ or __________________. It has a ratio of ________________.
opposite the 90° is called the ______________________________. It has a ratio of ________________.
Label the triangle below:
Practice
1. Solve the triangles (find the answers to all missing parts). Rationalize your answer.
a.
b.
9.9 GEO Notes
Date: _____________________
Adjacent leg
sin ∠A =
sin ∠B =
cos ∠A =
cos ∠B =
tan ∠A =
tan ∠B =
Practice
1. Find the three trigonometric ratios for ∠A & ∠B given the diagram.
A
5
4
C
B
3
A
2. ABC is an isosceles triangle. Find sin ∠C .
13
13
B
10
C
3. Label this triangle to be a 30-60-90 triangle and find the trigonometric ratios below:
sin 30° =
sin 60° =
cos 30° =
cos 60° =
tan 30° =
tan 60° =
4. Label this triangle to be a 45-45-90 triangle and find the trigonometric rations below:
sin 45° =
cos 45° =
tan 45° =