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Pg. 323/361 Homework

Pg. 323/361 Homework. Pg. 362 #39 – 47 odd, 51, 52 Memorize Trig. Info #2 QIV #4 QIII #6 QIII #8 -250° #10 470° #12 338°, 698°, -382°, -742° #14 210°, 570°, -510°, -870° #16 11 π /4, -5 π /2 #18 29 π /6, -19 π /6 #20 π /4, 9 π /4, -15 π /4, -23 π /4 #22 67°, 157°

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Pg. 323/361 Homework

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  1. Pg. 323/361 Homework • Pg. 362 #39 – 47 odd, 51, 52Memorize Trig. Info • #2 QIV #4 QIII #6 QIII • #8 -250° #10 470° • #12 338°, 698°, -382°, -742° #14 210°, 570°, -510°, -870° • #16 11π/4, -5π/2 #18 29π/6, -19π/6 • #20 π/4, 9π/4, -15π/4, -23π/4 #22 67°, 157° • #24 78°, 168° #26 5π/12, 11π/12 #28 π/14,4π/7 • #30 90°, π/2 #32 135°, 3π/4 #34 0°, 0, 2π • #36 -120°, -2π/3 #38 -600°, -10π/3 #40 -1260°, -7π • #42 π/3 #44 7π/6 #46 11π/6 • #48 59π/90 #50 249π/180 #52 810/π • #1 #2 #3 8/7 • #4 7/8 #5 #6 • #7 • #8 11/15 #9 #10 • #11 #12 #13 15/11

  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 = 5/6. Find all the trig functions of Ɵ. One angle of a right triangle measures 38°, and the hypotenuse has length of 17. 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 12 and 7 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(4, 7) 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!!

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