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Pg. 407/423 Homework

Pg. 407/423 Homework. Pg. 407 #33 Pg. 423 #16 – 18 all # 19 Ѳ = k π #21 t = 0.52 + 2 k π , 2.62 + 2 k π #23 x = π /2 + 2 k π #25 x = π /6 + 2 k π , 5 π /6 + 2 k π #27 x = ±1.05 + 2 k π , π + 2 k π #10 csc x #25 - #30 are all verifying problems.

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Pg. 407/423 Homework

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  1. Pg. 407/423 Homework • Pg. 407 #33Pg. 423 #16 – 18 all • #19 Ѳ= kπ #21 t = 0.52 + 2kπ, 2.62 + 2kπ • #23 x = π/2 + 2kπ #25 x = π/6 + 2kπ, 5π/6 + 2kπ • #27 x = ±1.05 + 2kπ, π + 2kπ • #10 cscx • #25 - #30 are all verifying problems

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

  3. 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 cosƟ:sin (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

  4. 7.5 Sum and Difference Identities Solve. cos(2x) + cosx = 0 2cos x + sin(2x) = 0

  5. 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

  6. 7.2 Inverse Trigonometric Functions Graphing Inverse Trig Sinusoids Determine if the following are sinusoidal. If so, rewrite it as a sinusoid. • State the domain and range of each. Graph. • y = sin-1 (x) + 1 • y = cos-1 (2x) • y = 3sin-1 (2x) – 1

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