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Mathematics

12th Grade

CCSS covered

Pre-Calc Double Angle Identities
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9 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 5 pts

If ⁡ sin⁡ x= −1213\sin\ x=\ -\frac{12}{13}   and x is in Quadrant IV, find the sin⁡ 2x\sin\ 2x  . HINT: Use the Double Angle Formula and draw the Triangle!

−119169-\frac{119}{169}  

−120169-\frac{120}{169}  

119120\frac{119}{120}  

120119\frac{120}{119}  

Tags

CCSS.HSF.TF.C.9

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

expand
cos(2θ)

cos2θ-sin2θ

2sinθcos

2cos2+1

sin2θ-1

Tags

CCSS.HSF.TF.C.9

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

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

−15-\frac{1}{5}

2425\frac{24}{25}

−2425-\frac{24}{25}

−2524-\frac{25}{24}

Tags

CCSS.HSF.TF.C.9

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

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

−15-\frac{1}{5}

2425\frac{24}{25}

−2425-\frac{24}{25}

−2524-\frac{25}{24}

Tags

CCSS.HSF.TF.C.9

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which expression is equal to the following from the double-angle identity?
sin⁡(180)\sin\left(180\right)

2sin⁡(360)cos⁡(360)2\sin\left(360\right)\cos\left(360\right)

2sin⁡(90)cos⁡(90)2\sin\left(90\right)\cos\left(90\right)

2sin⁡(180)cos⁡(180)2\sin\left(180\right)\cos\left(180\right)

2cos⁡2(90)−12\cos^2\left(90\right)-1

Tags

CCSS.HSF.TF.C.9

6.

MULTIPLE SELECT QUESTION

1 min • 1 pt

Use addition identity to prove double angle identity for cos⁡(2α).\cos\left(2\alpha\right).  Select all correct answers.

cos⁡2α−sin⁡2α\cos^2\alpha-\sin^2\alpha  

sin⁡2α−cos⁡2α\sin^2\alpha-\cos^2\alpha  

2cos⁡2α2\cos^2\alpha  

1−2sin⁡2α1-2\sin^2\alpha  

2cos⁡2α−12\cos^2\alpha-1  

Tags

CCSS.HSF.TF.C.9

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Use a double-angle 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

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