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, 5π/6 #6 Ɵ = 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 #10 x = 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

sec 1

tan

x

x

sin

1 cos

7.4 Trigonometric Identities

Simplify/Verify an Expression• Simplify:

• Verify:

• Verify:1 tan

1 cot

sin 1 cos2csc

1 cos sin

sin cos cot csc

7.6 Solving Trig Equations and Inequalities Analytically

Factoring Trig Equations• Find all solutions to

2sin2 x – sin x = 1 • Find all solutions in one

period of:2tan2 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) = cos2 Ɵ – sin2 Ɵ

= 1 – 2sin2 Ɵ = 2cos2 Ɵ – 1

• Rewrite the following only in terms of sin Ɵ and cos Ɵsin (2Ɵ) + cos Ɵ