5.3 - Solving Trig Equations

Solve sinθ = ½ on θ∈[0, 2π)

• θ = π / 6,  7π / 6
• θ = π / 6,  5π / 6
• θ = 5π / 6,  7π / 6
• θ = 7π / 6,  11π / 6

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CCSS.HSF.TF.B.7

• A
• B
• C
• D

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CCSS.HSF.TF.B.7

Hint: Are the terms in the best order??

• A
• B
• C
• D

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CCSS.HSF.TF.B.7

Which of these is NOT
 a solution to
tan θ = 0 ?

• θ = 0
• θ = π /2
• θ = π
• θ = 2π

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CCSS.HSF.TF.B.7

• A
• B
• C
• D

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CCSS.HSF.TF.B.7

• A
• B
• C
• D

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CCSS.HSF.TF.B.7

TRUE or FALSE: 
sin(2x) = 2sin(x)

• TRUE
• FALSE

• No solution
• π/3 +2πn, 5π/3 +2πn
• π/6 +2πn, 11π/6 +2πn
• 2π/3 +2πn, 4π/3 +2πn

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CCSS.HSF.TF.B.7

• 5π∕6 + 2πn, 7π/6 + 2πn
• π/3 + 2πn, 2π/3 + 2πn
• 5π/12 +πn, 7π/12 +πn
• 2π/3 +πn, 4π/3 +πn

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CCSS.HSF.TF.B.7

Solve
cos²θ = ½ 
on θ∈[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

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CCSS.HSF.TF.B.7