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3.6 Inverse Circular Relations

LO: Iwbat to find specified values of a circular function graphically, numerically, and algebraically. 3.6 Inverse Circular Relations. Guiding Question: How do I find the inverse of a circular relation?. is an arc (in radians) or an angle (in degrees) whose cosine is .25

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3.6 Inverse Circular Relations

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  1. LO:Iwbat to find specified values of a circular function graphically, numerically, and algebraically. 3.6 Inverse Circular Relations

  2. Guiding Question: How do I find the inverse of a circular relation? • is an arc (in radians) or an angle (in degrees) whose cosine is .25 • When you find the arc we use the term arccosine (arccos). • Arccos – ANY arc or angle whose cosine is .25 • Take What value is that? Where is it on the graph?

  3. Guiding Question: How do I find the inverse of a circular relation? • It is in 2 places (Quad 1 and 4) because I can take the negative of it as well. • Realize that I can continue to rotate around the circle and still land at those 2 pts. • The first value is called the principal value. • General form: (for radians) (for degrees) N = number to measure rotations *Sine is exactly same.

  4. Find the first five positive values of Find the first five positive values of • (principal value) 3. Find other positive values of the function. • What is the principal value? • What which positive values work? Guiding Question: How do I find the inverse of a circular relation?

  5. How can I find where the function equals .5? 1. Graph the function and the line y=.5 2. Use the intersect button to find the values. Guiding Question: How do I find the inverse of a circular relation?

  6. How do I find it numerically? How do I find it algebraically? • Find 2 of the values (.668, 2.54) • Add/Subtract the period of the function () • Set the 2 functions equal to each other • Solve for x Guiding Question: How do I find the inverse of a circular relation?

  7. Find where y = 4 for the following Guiding Question: How do I find the inverse of a circular relation?

  8. Assignment: Pg. 124-129 1-4, 5-13 odd Guiding Question: How do I find the inverse of a circular relation?

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