3.1 The inverse sine, cosine, and tangent functions Warm-up (IN) 1.What is the domain and range of ? 2.True or False: The graph of is decreasing on the.

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Presentation transcript:

3.1 The inverse sine, cosine, and tangent functions Warm-up (IN) 1.What is the domain and range of ? 2.True or False: The graph of is decreasing on the interval. 3. Find the exact value: a. b. c. d. Learning Objective: To understand the use of inverses in Trigonometry, to know what solving inverses identifies, and to grasp the limitations to each function and its possible solutions. D: all real #s R: True

NOTES To find the inverse of a function - Switch the x and y and solve for y So… becomes which becomes… Means inverse! Use the inverse to find unknown angles! Ex 1 - Asks, “what angle has a cos of 1/3?”

Limits to inverses: X (values) Y (angles) Quad I or IV Quad I or II Quad I or IV

Use the calculator to estimate... Ex 3 - In radians!.34 rad -.25 rad 1.16 rad Ex 2 - Find the exact value of Asks, “what angle has a sin of 1?”

Ex 4 - Find the exact value of

HW – pg. 230 #13-18,23-31,37-40 Out – Find the exact value of Summary – We need to know the limits because… Don’t forget about POW!!