Evaluating Inverse Trig Functions or
Given The Function Find The Angle
In The Coordinate Plane
Degrees
Review The Unit Circle
Determine the value of angle , where Example 1 Determine the value of angle , where Degrees
Wrong Polarity
Wrong Polarity
Why?
is called the Reference Angle
is called the Reference Angle
is called the Reference Angle
SAME Reference Angle and SAME Polarity
Degrees
Make sure you calculator is in Degrees. Check MODE
There Should Be Two Answers! Where's The Other Angle? There Should Be Two Answers!
Let's Look at FUNCTIONS and INVERSE FUNCTIONS
? Inverse INVERSE NOT A FUNCTION
An Angle in Quadrant I only The Calculator Gives You An Angle in Quadrant I only You Find The Other One SAME Reference Angle SAME Polarity
Determine the value of angle , where Example 2 Determine the value of angle , where Degrees
Using The Unit Circle
Wrong Polarity
Wrong Polarity
SAME Reference Angle and SAME Polarity
What's Up With This?
A Negative Angle in Quadrant IV only The Calculator Gives You A Negative Angle in Quadrant IV only Convert To Positive Coterminal Angle You Find The Other One SAME Reference Angle SAME Polarity
GENERAL INSTRUCTIONS
Draw the Angle in correct Quadrant To Find Take What The Calculator Gives You Draw the Angle in correct Quadrant Convert To A Positive Coterminal Angle If Necessary Label the Reference Angle Draw The Other One SAME Reference Angle SAME Polarity Determine It's Measure
QUADRANT TABLE Function Polarity 2nd Angle sin cos
QUADRANT TABLE Function Polarity 2nd Angle sin + cos ?
QUADRANT TABLE Function Polarity 2nd Angle sin + I cos ?
QUADRANT TABLE Function Polarity 2nd Angle sin + I II cos
QUADRANT TABLE Function Polarity 2nd Angle sin + I II – cos ?
+ – sin cos QUADRANT TABLE I II IV It will be a negative angle Function Polarity 2nd Angle sin + I II – IV cos It will be a negative angle Must be converted to a positive coterminal angle
QUADRANT TABLE Function Polarity 2nd Angle sin + I II – IV cos ?
QUADRANT TABLE Function Polarity 2nd Angle sin + I II – IV III cos
QUADRANT TABLE Function Polarity 2nd Angle sin + I II – IV III cos ?
QUADRANT TABLE Function Polarity 2nd Angle sin + I II – IV III cos ?
QUADRANT TABLE Function Polarity 2nd Angle sin + I II – IV III cos
QUADRANT TABLE Function Polarity 2nd Angle sin + I II – IV III cos ?
QUADRANT TABLE Function Polarity 2nd Angle sin + I II – IV III cos ?
QUADRANT TABLE Function Polarity 2nd Angle sin + I II – IV III cos
What About The Tangent?
QUADRANT TABLE Function Polarity 2nd Angle tan + –
QUADRANT TABLE Function Polarity 2nd Angle tan + I –
QUADRANT TABLE Function Polarity 2nd Angle tan + I III –
+ – tan QUADRANT TABLE I III IV It will be a negative angle Function Polarity 2nd Angle tan + I III – IV It will be a negative angle Must be converted to a positive coterminal angle
QUADRANT TABLE Function Polarity 2nd Angle tan + I III – IV II
Example 1
Round to nearest tenth of a degree.
? negative ? ?
?
Example 2
Round to nearest tenth of a degree.
positive ?
?
Example 3
Round to nearest tenth of a degree.
positive ?
?
Example 4
Round to nearest tenth of a degree.
?
?
? negative
?
Example 5
Round to nearest tenth of a degree.
positive ?
?
Example 6
Round to nearest tenth of a degree.
?
?
? negative
?
What About
Finish The Problem Like Example 3 Given then Finish The Problem Like Example 3
Given
NEXT
Finish The Problem Like Example 1 Given then Finish The Problem Like Example 1
Given then
NEXT
Finish The Problem Like Given then Example 6 Finish The Problem Like
Given then