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

7.4 Trigonometric Identities Simplify/Verify an Expression Simplify: Verify:

7.5 Sum and Difference Identities Sine Sum and Difference For all angles α and β, sin (α + β) = sin α cos β + cos α sin β sin (α – β) = sin α cos β – cos α sin β Prove: sin (Ɵ + π/2) = cos Ɵ Sine and Cosine Double Angle sin (2Ɵ) = 2sin Ɵ cos Ɵ cos (2Ɵ) = cos 2 Ɵ – sin 2 Ɵ = 1 – 2sin 2 Ɵ = 2cos 2 Ɵ – 1 Rewrite the following only in terms of sin Ɵ and cos Ɵ: sin (2Ɵ) + cos Ɵ

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

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

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