HPCT Unit 5 Quiz #2

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

Use a double-angle or half-angle identity to find the exact value of each expression
sin θ = −3/5 and 3π/2 < θ < 2π Find tan θ/2

• -1/3
• -√3
• √3/3
• -1

Tags

CCSS.HSF.TF.C.9

Using the second identity, find Cos(50)

• sin²(25) - cos²(25) 
• cos²(50) - sin²(50)
• cos²(25) - sin²(25)
• sin²(50) - cos²(50) 

Tags

CCSS.HSF.TF.C.9

Using the first identity, find Sin(180)

• 2sin(90)cos(90)
• 2sin(180)cos(180)
• sin(90)cos(90)
• sin(180)cos(180)

Tags

CCSS.HSF.TF.C.9

Find the exact value of COS 2X if SINX = 12/13 and X is in the first quadrant.

• $-\frac{119}{169}$

• $\frac{60}{169}$

• $-\frac{25}{169}$

• $\frac{5}{13}$

Tags

CCSS.HSF.TF.C.9

FIND THE EXACT VALUE OF SIN(105) USING THE HALF ANGLLE IDENTITY.

• $\frac{\left(\sqrt{2\ +\ \sqrt{3}}\right)}{2}$

• $\frac{\left(-\sqrt{3\ +\ \sqrt{2}}\right)}{3}$

• $-\frac{2}{3}$

• $-\sqrt{3}$

Tags

CCSS.HSF.TF.C.9

IN FINDING THE EXACT VALUE OF COS (165) WHICH FROMULA WOULD BE BETTER TO USE?

• SUM

• DIFFERENCE

• HALF ANGLE

• ANY OF THE ABOVE

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 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

Solve cos2x+sin²x=0 if the domain is [0, 360]

• {30, 90, 150, 270]

• {0 180}

• {30, 150}

• no solution