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

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

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

7.5 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