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Mathematics

12th Grade

CCSS covered

Used 16+ times

🌺13.5 Double Angle
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15 questions

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1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Find the exact value of  sin⁡2x\sin2x    if  sin⁡x=1213\sin x=\frac{12}{13}   and x is in the first quadrant. 

120169\frac{120}{169}  

25169\frac{25}{169}  

60169\frac{60}{169}  

513\frac{5}{13}  

Tags

CCSS.HSF.TF.C.9

2.

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

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

2sin⁡(10)cos⁡(10)=2\sin\left(10\right)\cos\left(10\right)=  

sin⁡(5)cos⁡(5)\sin\left(5\right)\cos\left(5\right)  

sin⁡(20)cos⁡(20)\sin\left(20\right)\cos\left(20\right)  

cos⁡(20)\cos\left(20\right)  

sin⁡(20)\sin\left(20\right)  

Tags

CCSS.HSF.TF.C.9

4.

DRAG AND DROP QUESTION

1 min • 1 pt

Use a double-angle formula to rewrite each expression so that there are no multiple angles.

sin⁡2(2x)4\frac{\sin^2\left(2x\right)}{4} =​ ​ (a)  

sin⁡2xcos⁡2x\sin^2x\cos^2x  

4sin⁡xcos⁡x4\sin x\cos x  

2sin⁡2xcos⁡2x2\sin^2x\cos^2x  

4sin⁡2xcos⁡2x4\sin^2x\cos^2x  

sin⁡2xcos⁡2x2\frac{\sin^2x\cos^2x}{2}  

Tags

CCSS.HSF.TF.C.9

5.

DRAG AND DROP QUESTION

1 min • 1 pt

Use a double-angle formula to rewrite each expression so that there are no multiple angles.

2tan⁡(2x)2\tan\left(2x\right) =​ (a)  

4tan⁡(x)1−tan⁡2(x)\frac{4\tan\left(x\right)}{1-\tan^2\left(x\right)}  

4tan⁡(x)sec⁡2(x)\frac{4\tan\left(x\right)}{\sec^2\left(x\right)}  

4tan⁡(x)4\tan\left(x\right)  

1−tan⁡2(2x)1-\tan^2\left(2x\right)  

Tags

CCSS.HSF.TF.C.9

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

cos⁡θ=45  and  3π2<θ<2π\cos\theta=\frac{4}{5}\ \ and\ \ \frac{3\pi}{2}<\theta<2\pi  

Find the exact value of  cos⁡2θ\cos2\theta .

−15-\frac{1}{5}  

725\frac{7}{25}  

−725-\frac{7}{25}  

−257-\frac{25}{7}  

Tags

CCSS.HSF.TF.C.9

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

cos⁡θ=45  and  3π2<θ<2π\cos\theta=\frac{4}{5}\ \ and\ \ \frac{3\pi}{2}<\theta<2\pi  

Find the exact value of  tan⁡2θ\tan2\theta .

−1-1  

724\frac{7}{24}  

247\frac{24}{7}  

−247-\frac{24}{7}  

Tags

CCSS.HSF.TF.C.9

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