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