Download Trigonometry - Northwest School District

Trigonometry
Chapter 1--Section 1
angle - two rays with a common endpoint
- common endpoint is the vertex
- angle θ (theta) is labeled O and A & B are
points on each side of θ
The angle formed by rotating a ray through one
complete revolution has a measure of 360
acute - measure between 0 - 90
right - measure of exactly 90
obtuse - measure between 90 - 180
de
l si
a
in
B
m
ter θ
initial side
A
example 1
Give the measure of the complement and supplement of each angle
θ = 50
θ = 100
θ=x
Triangles
equilateral triangle
isosceles triangle
scalene triangle
acute triangle
right triangle
obtuse triangle
-- three sides of equal length
-- two equal sides and two equal angles
-- no equal sides
-- all three angles are acute
-- one right angle
-- one obtuse angle
Pythagorean Theorem
A
In any right triangle the square of the length
of the longest side (called the hypotenuse) is
equal to the sum of the squares of the other
two sides (called legs).
c
b
C
a
B
2
2
3, 4, 5
5, 12, 13
8, 15, 17
7, 24, 25
20, 21, 29
2
c =a +b
example 2
example 3
If a = 4 and b = 3, find c
If a = 2 and c = 6, find b
example 4
Find the value of x.
x + 2
√10
x
page 10
1­41 odd