Trig 2

Use the information about the angle θ, 0≤θ<2π to find the exact value of
sin (2θ)
1. sin θ= 3/5 , 0<θ<π/2

• 24/7
• 7/25
• 24/25
• 1/2

Tags

CCSS.HSF.TF.C.9

Use the information about the angle θ, 0≤θ<2π to find the exact value of 
sin (θ/2)
2. sin θ= 3/5 , 0<θ<π/2

• √10/10
• 24/25
• 25/7
• -7/25

Tags

CCSS.HSF.TF.C.9

Use the information about the angle θ, 0≤θ<2π to find the exact value of 
tan (θ/2)
3. tanθ=4/3, π<θ<3π/2

• -2
• 4/5
• -24/7
• 1/2

Tags

CCSS.HSF.TF.C.9

Use the information about the angle θ, 0≤θ<2π to find the exact value of 
tan (2θ)
4. tanθ=4/3, π<θ<3π/2

• -2
• 1/2
• -24/7
• 24/7

Tags

CCSS.HSF.TF.C.9

Use the information about the angle θ, 0≤θ<2π to find the exact value of 
sin (2θ)
5. cos θ = -√6/3, π/2<θ<π

• 2√2/3
• √2/3
• -2√2
• -2√2/3

Tags

CCSS.HSF.TF.C.9

Use the Half-angle formulas to find the exact value of each expression
sin 22.5º

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

Tags

CCSS.HSF.TF.C.9

Use the Half-angle formulas to find the exact value of each expression
cos 165º

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

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

Simplify
sin(x+π)

• -1
• csc(x)
• sin(x)
• -sin(x)

Tags

CCSS.HSF.TF.C.9

expand
cos(2θ)

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

Tags

CCSS.HSF.TF.C.9