1 / 12

Aim: What are the reciprocal functions and cofunction?

Aim: What are the reciprocal functions and cofunction?. AB = 17 and BC = 15. Do Now: In. A. Find. B. C. c). d). a) AC b). 2) Find the reciprocal of. a). b). c). Worksheet. 1) a) AC = 8, b). = 15/17 c). = 8/17. d). = 15/8. 2) a) rec. of.

nathaniel-angelo
Download Presentation

Aim: What are the reciprocal functions and cofunction?

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. Aim: What are the reciprocal functions and cofunction? AB = 17 and BC = 15. Do Now: In A • Find B C c) d) a) AC b) 2) Find the reciprocal of a) b) c) Worksheet

  2. 1) a) AC = 8, b) = 15/17 c) = 8/17 d) = 15/8 2) a) rec. of = 17/15 b) rec. of = 17/8 c) rec. of = 8/15 When we write the reciprocal of sine, cosine and tangent, we get 3 other functions – the reciprocal functions. We have names for those three reciprocal functions

  3. Definition of the reciprocal functions

  4. or or or

  5. Properties of all 6 trig functions Quadrant I II III IV sin + + – – csc + + – – cos + – – + sec+ – – + tan + – + – cot + – + –

  6. Given ΔABC, mB = 30, find the values of a) sin B b) cos A A 2 1 30 B Then sin30 = cos60 C That is sin30 = cos (90 – 30) In general, sin A = cos (90 – A) or cos A = sin (90 – A) The sine of an acute angle is equal to the cosine of its complement. The sine and cosine are cofunctions

  7. tan A = cot (90 – A) cot A = tan (90 – A) sec A = csc (90 – A) csc A = sec (90 – A) tangent and cotangent are cofunctions secant and cosecant are cofunctions In all three pairs of cofunctions, the angles are complementary angles.

  8. Relationship of all trig functions reciprocal cofunctions cofunctions &reciprocal reciprocal cofunctions

  9. Find a value of for which the statement is true. 1. 2. 3. 4.

  10. Write the following functions in terms of , or both: a) b) c) d)

  11. Find the values of the following a) b) c) d) e)

  12. Determine the quadrant of the angle lie a) b) and c) d) and

More Related