Final Review PreCalc B - Ch 7 Topics

Use a double-angle identity to find the exact value of each expression
cos θ = 4/5 and 270° < θ < 360°
Find sin 2θ

• -1/5
• 24/25
• -24/25
• -25/24

Tags

CCSS.HSF.TF.C.9

Use a double-angle identity to find the exact value of the following expression.
cos θ= 15/17 and 3π/2 < θ < 2π
Find cos 2θ

• -240/161
• 240/161
• -240/289
• 161/289

Tags

CCSS.HSF.TF.C.9

Use Sum or Difference Identities to find the exact value of each expression.
cos(75°)

• 1/4
• (√6 - √2) / 4
• (√6 + √2) / 4
• (-√6 - √2) / 4

Please choose the correct sum and difference formula:
cos (α+β) =

• sin α cos β + cos α sin β
• sin α cos β - cos α sin β
• cos α cos β - sin α sin β
• cos α cos β + sin α sin β

Tags

CCSS.HSF.TF.C.9

sin 105º

• √3/2
• -1/4(√2 + √6)
• 1/4 (√2 + √6)
• 2-√3

Tags

CCSS.HSF.TF.C.9

Which of these is equivalent to 2cos²x − 3cosx = 0 ?

• -cos²x = 0

• cosx(2cosx + 3) = 0

• cosx(2cosx − 3) = 0

• cos x = ⅔

Tags

CCSS.HSF.TF.B.7

Factor 0 = sin²x − sinx

• 0 = sinx(sinx)

• 0 = sinx(1 − sinx)

• 0 = cosx(sinx − 1)

• 0 = sinx(sinx − 1)

Tags

CCSS.HSF.TF.B.7

Solve the equation (secx − 2)(secx + 1) = 0 on [0, 360⁰)

• 60⁰, 180⁰, 300⁰

• 30⁰, 180⁰,330⁰

• 60⁰, 120⁰

• 180⁰

Tags

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

Tags

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

Tags

CCSS.HSF.TF.B.7