1 / 7

Pg. 324 Homework

Pg. 324 Homework. Memorize familiar radian measure angles Pg. 323 #2 – 52 even Pg. 361 #1 – 13 all #1 QIII #3 QII #5 QI #7 408° #9 345° #11 415°, 775°, -305°, -665° #13 50°, 770°, -510°, -870° #15 #17 #19 #21 55°, 145° #23 22°, 112° #25 #27

liliha
Télécharger la présentation

Pg. 324 Homework

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. Pg. 324 Homework • Memorize familiar radian measure anglesPg. 323 #2 – 52 even Pg. 361 #1 – 13 all • #1 QIII #3 QII #5 QI • #7 408° #9 345° • #11 415°, 775°, -305°, -665° #13 50°, 770°, -510°, -870° • #15 #17 • #19 #21 55°, 145° • #23 22°, 112° #25 #27 • #29 180° or π #31 45° or π/4 #33 315° or 7π/4 • #35 180° or π #37 480° or 8π/3 #39 900° or 5π • #41 π/4 #43 3π/4 #45 2π/3 • #47 #49 2π/5 #51 75° • #53 214.86°

  2. 6.5 Trig Functions of an Acute Angle Trig Functions Also, we know that from the basic three trig functions: • The six trig functions of any angle 0° < Ɵ < 90° are defined as follows:

  3. 6.5 Trig Functions of an Acute Angle Triangle Trig If c = 2, determine the lengths of a and b and find the six trig values at 30° and 60°. • We use right triangles because they allow us to use the Pythagorean Theorem, which makes solving a much easier process! • Because 30°, 45° and 60° occur frequently, we will learn and memorize those triangles!!

  4. 6.5 Trig Functions of an Acute Angle More Trig Triangles Cofunctions of Complementary Angles If Ɵ is any acute trig angle, a trig function value of Ɵ is equal to the cofunction of the complement of Ɵ, as follows: • If a = 1, determine the length of c and find the six trig values.

  5. 6.5 Trig Functions of an Acute Angle Example: Let Ɵ be an acute angle such that sin Ɵ = ¾. Find all the trig functions of Ɵ. One angle of a right triangle measures 42°, and the hypotenuse has length of 10. Find the measures of the remaining sides. • Show that are cofunctions.

  6. 6.5 Trig Functions of an Acute Angle Example: Trig Functions of Any Angle Let Ɵ be an angle in standard position, P(x, y) a point other than the origin on the terminal side of P, and r = The six trig values of Ɵ are defined as follows: • They hypotenuse and one leg of a triangle measure 8 and 5 respectively. Find the measure of angle Ɵ formed by these two sides.

  7. 6.5 Trig Functions of an Acute Angle Example: Find the values of all six trig functions and the angle of measure of angle Ɵ, where P(-3, 2) is a point on the terminal side of Ɵ. Find all the values of all six trig functions for the quadrantal angles of: • Find the values of the six trig functions at an angle Ɵ in standard form with point P(2, 4) on its terminal side. • **Note** If an angle does not appear acute in the first quadrant, you can work in any of the four quadrants to make the angle acute!!

More Related