1 / 8

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

naasir
Download Presentation

3.6 Inverse Circular Relations

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  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?

More Related