PreCalc Semester 2 Finals (Trig Review Unit 5B)

Solve sinθ = ½ on the interval [0, 2π).

• θ = π / 6,  7π / 6
• θ = π / 6,  5π / 6
• θ = π / 3,  5π / 3
• θ = π / 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

• 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

Find all solutions.

• 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

Solve for all x.

• 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 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

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CCSS.HSF.TF.B.7

Factor Completely:
9cos²x - 12cosx +4

• (3cosx + 4) ( 3cosx +1)
• (3cosx - 2)²
• (cosx -2)(cosx - 2)
• (9cosx -2) (cosx -2)

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CCSS.HSA.APR.C.4