Section 4.7.

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Copyright © 2013, 2009, 2005 Pearson Education, Inc. 1 5 Trigonometric Identities.

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Presentation transcript:

Section 4.7

Inverse Trigonometric Functions Sine: the inverse of sine is in Quadrants I and IV Cosine: the inverse of cosine is in Quadrants I and II Tangent: the inverse of tangent is in Quadrants I and IV

Inverse Trigonometric Functions arcsin x is the same thing as the inverse of sin x arccos x is the same thing as the inverse of cos x arctan x is the same thing as the inverse of tan x

Inverse Trigonometric Functions You can only use your calculator if the angle is not on the Unit Circle Steps for finding the angle using inverse trigonometric functions Find the Quadrant the angle is in Find the denominator (6, 4, or 3) Find the numerator

Inverse Trigonometric Functions If the angle is in Quadrant I, pi is in the numerator If the angle is in Quadrant II, the numerator is one less than the denominator (remember pi) If the angle is in Quadrant IV, write the angle for Quadrant I and make it negative