Unit 5 HPCT

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cos(2θ)

• cos²θ-sin²θ
• 2sinθcos
• 2cos²+1
• sin²θ-1

Tags

CCSS.HSF.TF.C.9

Use a double-angle or half-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

Write the following expression as the sine, cosine, or tangent of an angle.
cos(175)cos(55)+sin(175)sin(55)

• sin(120)
• cos(120)
• cos(230)
• sin(230)

Tags

CCSS.HSF.TF.C.9

Simplify
sin(x+π)

• -1
• csc(x)
• sin(x)
• -sin(x)

Tags

CCSS.HSF.TF.C.9

Use Sum or Difference Identities to find the exact value of
sin(π/12)

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

Tags

CCSS.HSF.TF.C.9

• A
• B
• C
• D

Tags

CCSS.HSF.TF.B.7

Solve for the unknown variable on the interval 0≤x<2π

2cos²x + cosx = 0

• π/2, 3π/2, 2π/3, 4π/3

• 0, π, 2π/3, 4π/3

• π/2, 3π/2, 5π/6, 7π/6

Tags

CCSS.HSF.TF.B.7

Find all solutions in the interval [0, 2π): 8 sin (x/2) - 8 = 0.

• π/2, 3π/2

• π/4, 3π/4, 5π/4, 7π/4

• π

• 0

Solve on the domain [0, 2π)
cos² x + sin x + 1 = 0

• π
• 3π/2
• π/6, 5π/6, 3π/2
• No solution

Tags

CCSS.HSF.TF.B.7

Solve on the domain [0, 2π)
2sin x cos x = √2 cos x

• π/2, 3π/2
• 0, π/4, 3π/4
• π/2, 3π/2, π/4, 3π/4
• No solution

Tags

CCSS.HSF.TF.B.7