Section 8.3 Solve Trig Equations

Solve on the Interval [0,2π)
tan(x)+1=2

• 0 and π  
• 3π/4 and 7π/4
• π/4 and 5π/4
• 3π/4 and 5π/4

Tags

CCSS.HSF.TF.B.7

Write the general formula for all the solutions for 2cosθ−4 = 0

• No solution

• π/3 +2kπ, 5π/3 +2kπ

• π/6 +2kπ, 11π/6 +2kπ

• 2π/3 +2kπ, 4π/3 +2kπ

Tags

CCSS.HSF.TF.B.7

Solve

2cos²θ -1=0

on the interval [0, 2π)

• θ = π /4, 7π /4

• θ = π /4, 3π /4

• θ = 3π /4, 5π /4

• θ = π /4, 3π /4, 5π /4, 7π /4

Tags

CCSS.HSF.TF.B.7

Write the general form for all the solutions to sin2θ = ½ based on the smaller angle.

• θ = π / 6 + 2kπ

• θ = π /12 + kπ

• θ = π / 3 + 2kπ

• θ = π / 6 + kπ

Tags

CCSS.HSF.TF.B.7

Write the general form for all the solutions to sin2θ = ½ based on the larger angle.

• θ = 5π / 6 + 2kπ

• θ = π /6 + kπ

• θ = π / 3 + 2kπ

• θ = 5π /12 + kπ

Tags

CCSS.HSF.TF.B.7

Write the general form for all the solutions to sin θ/2 = ½ based on the smaller angle.

• θ = π / 3 + kπ

• θ = π /3 + 2kπ

• θ = π / 3 + 4kπ

• θ = π /6 + 4kπ

Tags

CCSS.HSF.TF.B.7

Write the general form for all the solutions to sin θ/2 = ½ based on the larger angle.

• θ = π / 6 + kπ

• θ = 5π /3 + 4kπ

• θ = 2π / 3 + 4kπ

• θ = π / 6 + 4kπ

Tags

CCSS.HSF.TF.B.7