Pg. 407/423 Homework
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Transcript of Pg. 407/423 Homework
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 csc x• #25 - #30 are all verifying problems
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