14. Find the exact value of sin 11 π 6 \frac{11\pi}{6} 6 1 1 π .

3 2 \frac{\sqrt{3}}{2} 2 3 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

− 3 2 -\frac{\sqrt{3}}{2} − 2 3 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

15. Find the exact value of cos 11 π 6 \frac{11\pi}{6} 6 1 1 π .

3 2 \frac{\sqrt{3}}{2} 2 3 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

− 3 2 -\frac{\sqrt{3}}{2} − 2 3 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

16. Find the exact value of cos 120 o .

3 2 \frac{\sqrt{3}}{2} 2 3 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

− 3 2 -\frac{\sqrt{3}}{2} − 2 3 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

17. Find the exact value of sin 225 o .

− 2 2 -\frac{\sqrt{2}}{2} − 2 2 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

2 2 \frac{\sqrt{2}}{2} 2 2 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

3 3 \frac{\sqrt{3}}{3} 3 3 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

− 3 3 -\frac{\sqrt{3}}{3} − 3 3 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

4th Six Weeks Review

Authored by Jau-Hung Liou

Mathematics

11th - 12th Grade

CCSS covered

Used 15+ times

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20 questions

Show all answers

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

1. Let tan θ = $\frac{12}{5}$ , where sin θ > 0. Find the exact value of sin θ.

$\frac{5}{13}$

$\frac{5}{12}$

$\frac{12}{13}$

$\frac{13}{12}$

Tags

CCSS.HSF.TF.C.8

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

2. Find the exact value of sin θ.

a $\frac{\sqrt{119}}{5}$

b $\frac{5}{12}$

c $\frac{\sqrt{119}}{12}$

d $\frac{12}{5}$

Tags

CCSS.HSG.SRT.C.6

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

3. The angle of elevation from the tip of a building’s shadow to the top of the building is 70° and the distance is 180 feet. Find the height of the building to the nearest foot.

62 ft

66 ft

169 ft

495 ft

Tags

CCSS.HSG.SRT.C.8

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

4. The front view of a roof is a triangle ABC with A = 102°, B = 23°, and c = 20 feet. Find a.

8.0 ft

16.7 ft

23.9 ft

50.1 ft

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

5. In △DEF, D = 52°, e = 9, and f = 14. Find d.

6.3

8.7

8.8

11.0

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

6. In △RST, r = 2.4 in., s = 8.2 in., and t = 10.1 in. Find S.

15.1°

21.7°

28.9°

33.3°

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

7. Let cos θ = $\frac{5}{13}$ , where sin θ > 0. Find the exact value of sin θ.

$\frac{5}{13}$

$\frac{5}{12}$

$\frac{12}{13}$

$\frac{13}{12}$

Tags

CCSS.HSF.TF.C.8

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4th Six Weeks Review

1. Let tan θ = $\frac{12}{5}$ , where sin θ > 0. Find the exact value of sin θ.

2. Find the exact value of sin θ.

3. The angle of elevation from the tip of a building’s shadow to the top of the building is 70° and the distance is 180 feet. Find the height of the building to the nearest foot.

4. The front view of a roof is a triangle ABC with A = 102°, B = 23°, and c = 20 feet. Find a.

5. In △DEF, D = 52°, e = 9, and f = 14. Find d.

6. In △RST, r = 2.4 in., s = 8.2 in., and t = 10.1 in. Find S.

7. Let cos θ = $\frac{5}{13}$ , where sin θ > 0. Find the exact value of sin θ.

8. The side view of a curb ramp is a triangle ABC with A = 27°, B = 78°, and c = 19 feet. Find a.

9. In △DEF, D = 47°, e = 12, and f = 8. Find d.

10. In △RST, r = 7.8 in., s = 4.2 in., and t = 3.9 in. Find S.

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4th Six Weeks Review

1. Let tan θ = 125\frac{12}{5}512​ , where sin θ > 0. Find the exact value of sin θ.

2. Find the exact value of sin θ.

3. The angle of elevation from the tip of a building’s shadow to the top of the building is 70° and the distance is 180 feet. Find the height of the building to the nearest foot.

4. The front view of a roof is a triangle ABC with A = 102°, B = 23°, and c = 20 feet. Find a.

5. In △DEF, D = 52°, e = 9, and f = 14. Find d.

6. In △RST, r = 2.4 in., s = 8.2 in., and t = 10.1 in. Find S.

7. Let cos θ = 513\frac{5}{13}135​ , where sin θ > 0. Find the exact value of sin θ.

8. The side view of a curb ramp is a triangle ABC with A = 27°, B = 78°, and c = 19 feet. Find a.

9. In △DEF, D = 47°, e = 12, and f = 8. Find d.

10. In △RST, r = 7.8 in., s = 4.2 in., and t = 3.9 in. Find S.

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1. Let tan θ = $\frac{12}{5}$ , where sin θ > 0. Find the exact value of sin θ.

7. Let cos θ = $\frac{5}{13}$ , where sin θ > 0. Find the exact value of sin θ.