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Pg. 407/423 Homework

Pg. 407/423 Homework. Pg. 407 #33 Pg. 423 #16 – 18 all # 9 tan x #31 #32 #1 x = 0.30, 2.84 #2 x = 0.72, 5.56 #3 x = 0.98 # 4 No Solution! #5 x = π /6, 5 π /6 #6 Ɵ = π /8 #7 x = π /6, 5 π /6, 1.88, 4.41 # 8 x = 0, 3.34, π , 6.08

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Pg. 407/423 Homework

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  1. Pg. 407/423 Homework • Pg. 407 #33Pg. 423 #16 – 18 all • #9 tan x#31 #32 • #1 x = 0.30, 2.84 #2x = 0.72, 5.56 • #3 x = 0.98 #4 No Solution! • #5 x = π/6, 5π/6 #6Ɵ = π/8 • #7 x = π/6, 5π/6, 1.88, 4.41 #8 x = 0, 3.34, π, 6.08 • #9 x = 2.50, 3.79, π/3,5π/3 #10x = 1.47, 4.81 • #11 x = 0, π/4, π, 5π/4 • #12 x = 0.98, 4.12, π/3, 7π/6, 5π/3, 11π/6 • #13 x = 0, π/2, 3π/2 #14 x = 0, π/3, π,5π/3 • #15 x = π/3, π,5π/3

  2. 7.4 Trigonometric Identities Simplify/Verify an Expression Verify: • Simplify: • Verify:

  3. 7.6 Solving Trig Equations and Inequalities Analytically Factoring Trig Equations Find all solutions in one period of:2tan2x = sec x – 1 • Find all solutions to 2sin2x – sin x = 1

  4. 7.5 Sum and Difference Identities Sine Sum and Difference Sine and Cosine Double Angle sin (2Ɵ) = 2sin ƟcosƟ cos (2Ɵ) = cos2Ɵ – sin2Ɵ = 1 – 2sin2Ɵ = 2cos2Ɵ – 1 Rewrite the following only in terms of sin Ɵ and cosƟsin (2Ɵ) + cosƟ • For all angles α and β, sin (α+ β) =sin αcosβ + cosα sin βsin (α – β) = sin αcosβ – cosα sin β • Prove:sin (Ɵ + π/2) = cosƟ

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