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AP CALCULUS The Unit circle Review 1

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Def: If the terminal side of an angle is in standard

position and intersects the unit circle at P(x,y) then x = cos Ɵ and y = sin Ɵ Trig functions defined using the unit circle are called circular functions.

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1.) Find the exact values for the trig functions for 45o

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2.) Find the exact values for the trig functions:

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Def: Quadrantal Angles: Angles whose terminal side coincides with either the x-axis or the y-axis are called quadrantal angles.

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A S T C – All Students Take Calculus!

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View this simple hand trick to help memorize the unit circle. www

View this simple hand trick to help memorize the unit circle.

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Def: Trigonometric Identities: The trigonometric identities are relationships which are true for all values of the variables for which the expressions are defined.

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Use trig identities to simplify the following

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Suggestions Change everything to sine and cosine

Substitute basic trig identities Factor or foil the expression Multiply both numerator and denominator by the same thing Find a common denominator for sums and differences

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Assignment Practice Worksheet: Review Assignment 1, The Unit Circle

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