Find the exact value for sin ⁡ π 4 \sin\frac{\pi}{4} sin 4 π .

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 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">

Find the exact value for cos ⁡ 5 π 6 \cos\ \frac{5\pi}{6} cos 6 5 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">

Find the exact value for tan ⁡ 7 π 4 \tan\ \frac{7\pi}{4} tan 4 7 π .

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">

Solve the equation for 0 ≤ θ < 2 π 0\le\theta<2\pi 0 ≤ θ < 2 π . − 4 sin ⁡ θ = 2 -4\sin\theta=2 − 4 sin θ = 2

7 π 6 a n d 11 π 6 \frac{7\pi}{6}\ and\ \frac{11\pi}{6} 6 7 π a n d 6 1 1 π

π 6 a n d 5 π 6 \frac{\pi}{6}\ and\ \frac{5\pi}{6} 6 π a n d 6 5 π

π 3 a n d 2 π 3 \frac{\pi}{3}\ and\ \frac{2\pi}{3} 3 π a n d 3 2 π

4 π 3 a n d 5 π 3 \frac{4\pi}{3}\ and\ \frac{5\pi}{3} 3 4 π a n d 3 5 π

Solve the equation for 0 ≤ θ < 2 π 0\le\theta<2\pi 0 ≤ θ < 2 π . 5 = 4 + tan ⁡ θ 5\ =\ 4+\tan\theta 5 = 4 + tan θ

π 4 a n d 5 π 4 \frac{\pi}{4}\ and\ \frac{5\pi}{4} 4 π a n d 4 5 π

π 4 a n d 3 π 4 \frac{\pi}{4}\ and\ \frac{3\pi}{4} 4 π a n d 4 3 π

3 π 4 a n d 5 π 4 \frac{3\pi}{4}\ and\ \frac{5\pi}{4} 4 3 π a n d 4 5 π

3 π 4 a n d 7 π 4 \frac{3\pi}{4}\ and\ \frac{7\pi}{4} 4 3 π a n d 4 7 π

Solve the equation for 0 ≤ θ < 2 π 0\le\theta<2\pi 0 ≤ θ < 2 π . − 2 = 4 cos ⁡ θ -2=4\cos\theta − 2 = 4 cos θ

2 π 3 a n d 4 π 3 \frac{2\pi}{3}\ and\ \frac{4\pi}{3} 3 2 π a n d 3 4 π

5 π 6 a n d 7 π 6 \frac{5\pi}{6}\ and\ \frac{7\pi}{6} 6 5 π a n d 6 7 π

Solve the equation for 0 ≤ θ < 2 π 0\le\theta<2\pi 0 ≤ θ < 2 π . − 3 = 2 sin ⁡ θ -\sqrt{3}=2\sin\theta − 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"> = 2 sin θ

4 π 3 a n d 5 π 3 \frac{4\pi}{3}\ and\ \frac{5\pi}{3} 3 4 π a n d 3 5 π

π 2 a n d 3 π 2 \frac{\pi}{2}\ and\ \frac{3\pi}{2} 2 π a n d 2 3 π

7 π 6 a n d 11 π 6 \frac{7\pi}{6}\ and\ \frac{11\pi}{6} 6 7 π a n d 6 1 1 π

0 a n d π 0\ and\ \pi 0 a n d π

Solve the equation for 0 ≤ θ < 2 π 0\le\theta<2\pi 0 ≤ θ < 2 π . 4 = 8 sin ⁡ θ 4=8\sin\theta 4 = 8 sin θ

π 6 a n d 5 π 6 \frac{\pi}{6}\ and\ \frac{5\pi}{6} 6 π a n d 6 5 π

π 3 a n d 2 π 3 \frac{\pi}{3}\ and\ \frac{2\pi}{3} 3 π a n d 3 2 π

π 2 a n d 3 π 2 \frac{\pi}{2}\ and\ \frac{3\pi}{2} 2 π a n d 2 3 π

0 a n d π 0\ and\ \pi 0 a n d π

Solve the equation for 0 ≤ θ < 2 π 0\le\theta<2\pi 0 ≤ θ < 2 π . − 6 = − 5 + tan ⁡ θ -6\ =\ -5+\tan\theta − 6 = − 5 + tan θ

3 π 4 a n d 7 π 4 \frac{3\pi}{4}\ and\ \frac{7\pi}{4} 4 3 π a n d 4 7 π

5 π 6 a n d 11 π 6 \frac{5\pi}{6}\ and\ \frac{11\pi}{6} 6 5 π a n d 6 1 1 π

2 π 3 a n d 5 π 3 \frac{2\pi}{3}\ and\ \frac{5\pi}{3} 3 2 π a n d 3 5 π

π 2 a n d 3 π 2 \frac{\pi}{2}\ and\ \frac{3\pi}{2} 2 π a n d 2 3 π

Which is a correct way to solve the equation cosx(2cosx − 3) = 0?

set each factor equal to 0 and solve

distribute cosx into the parentheses

Unit Circle (values and signs)

Authored by Amy Maddox

Mathematics

11th Grade

CCSS covered

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18 questions

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MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Find the exact value for $\sin\frac{\pi}{4}$ .

$\frac{\sqrt{2}}{2}$

$\frac{1}{2}$

$\frac{\sqrt{3}}{2}$

$0$

Tags

CCSS.HSF.TF.A.2

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Find the exact value for $\sec\ \frac{3\pi}{2}$ .

undefined

-1

Tags

CCSS.HSF.TF.A.2

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Find the exact value for $\cos\ \frac{5\pi}{6}$ .

$-\frac{1}{2}$

$\frac{1}{2}$

$\frac{\sqrt{3}}{2}$

$-\frac{\sqrt{3}}{2}$

Tags

CCSS.HSF.TF.A.4

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Find the exact value for $\tan\ \frac{7\pi}{4}$ .

$-1$

$1$

$\frac{\sqrt{2}}{2}$

undefined

Tags

CCSS.HSF.TF.A.2

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

sinθ is positive in

the 1st and 2nd quadrants

the 1st and 3rd quadrants

the 1st and 4th quadrants

the 2nd and 3rd quadrants

Tags

CCSS.HSF.TF.A.2

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

cosθ is positive in

the 1st and 2nd quadrants

the 1st and 3rd quadrants

the 1st and 4th quadrants

the 2nd and 3rd quadrants

Tags

CCSS.HSF.TF.A.2

CCSS.HSF.TF.A.4

CCSS.HSF.TF.C.8

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

tanθ is positive in

the 1st and 2nd quadrants

the 1st and 3rd quadrants

the 1st and 4th quadrants

the 2nd and 3rd quadrants

Tags

CCSS.HSF.TF.A.2

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the value of cosine at 0?

$0$

$\frac{1}{2}$

$1$

$\frac{\sqrt{3}}{2}$

Tags

CCSS.HSF.TF.A.2

10.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Solve the equation for $0\le\theta<2\pi$ .

$-4\sin\theta=2$

$\frac{\pi}{6}\ and\ \frac{5\pi}{6}$

$\frac{\pi}{3}\ and\ \frac{2\pi}{3}$

$\frac{7\pi}{6}\ and\ \frac{11\pi}{6}$

$\frac{4\pi}{3}\ and\ \frac{5\pi}{3}$

Tags

CCSS.HSF.TF.B.7

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Unit Circle (values and signs)

Find the exact value for sin⁡π4\sin\frac{\pi}{4}sin4π​ .

Find the exact value for sec⁡ 3π2\sec\ \frac{3\pi}{2}sec 23π​ .

Find the exact value for cos⁡ 5π6\cos\ \frac{5\pi}{6}cos 65π​ .

Find the exact value for tan⁡ 7π4\tan\ \frac{7\pi}{4}tan 47π​ .

sinθ is positive in

cosθ is positive in

tanθ is positive in

What is the value of cosine at 0?

What is the reciprocal of the sine function?

Solve the equation for 0≤θ<2π0\le\theta<2\pi0≤θ<2π . −4sin⁡θ=2-4\sin\theta=2−4sinθ=2

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Find the exact value for $\sin\frac{\pi}{4}$ .

Find the exact value for $\sec\ \frac{3\pi}{2}$ .

Find the exact value for $\cos\ \frac{5\pi}{6}$ .

Find the exact value for $\tan\ \frac{7\pi}{4}$ .

Solve the equation for $0\le\theta<2\pi$ .

$-4\sin\theta=2$