TRIGONOMETRY is a way that you can figure out missing sides
and angles of a RIGHT TRIANGLE using relationships between
sides and angles. You can ultimately solve for all three sides and
all three angles.
RECALL
IF you have the length of two sides of a right triangle ,
THEN you use the PYTHAGOREAN THEOREM to get the third side.
RECALL
IF you have the measure of one angle of a right triangle,
THEN you can figure out the other angle because all three angles
add up to 180 degrees in a triangle.
NEW INFORMATION
While you need to use Cos, Sin, and Tan, we will focus
first on COSINE because it is the most straight-forward.
NEW PART 1
IF you have the length of a LEG and the HYPOTENUSE,
THEN you can figure out the angle in between by using COSINE.
Cosine (angle) = Adjacent Side / Hypotenuse
(Need)
Given
Given
Then you can figure out the other angle too.
NEW PART 2
IF you have only one side and one angle,
THEN you can figure out another side using COSINE.
Cosine (angle) = Adjacent Side / Hypotenuse
Given
Given one, find the other
Once you have two sides, Pythagorean for the third.