Select all that are equal to 1

cos ⁡ ( 2 π ) \cos\left(2\pi\right) cos ( 2 π )

tan ⁡ ( π 4 ) \tan\left(\frac{\pi}{4}\right) tan ( 4 π )

sin ⁡ ( π 2 ) \sin\left(\frac{\pi}{2}\right) sin ( 2 π )

sin ⁡ ( 27 0 o ) \sin\left(270^o\right) sin ( 2 7 0 o )

cos ⁡ ( π ) \cos\left(\pi\right) cos ( π )

What is the exact value of sin ⁡ ( 13 π 6 ) \sin\left(\frac{13\pi}{6}\right) sin ( 6 1 3 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">

Evaluate: tan ⁡ ( π 3 ) \tan\left(\frac{\pi}{3}\right) tan ( 3 π )

3 \sqrt{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 -\sqrt{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">

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">

What is the reference angle if θ = 7 π 6 r a d i a n s ? \theta=\frac{7\pi}{6}\ radians? θ = 6 7 π r a d i a n s ?

π 6 r a d i a n s \frac{\pi}{6}\ radians 6 π r a d i a n s

π 4 r a d i a n s \frac{\pi}{4}\ radians 4 π r a d i a n s

π 3 r a d i a n s \frac{\pi}{3}\ radians 3 π r a d i a n s

π 2 r a d i a n s \frac{\pi}{2}\ radians 2 π r a d i a n s

Evaluating with the Unit Circle

Authored by Manuel Hernandez

Mathematics

9th - 12th Grade

CCSS covered

Used 4+ times

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24 questions

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MULTIPLE CHOICE QUESTION

1 min • 1 pt

Based on your unit circle cos(0^o)=

-1

1/2

Tags

CCSS.HSF.TF.A.2

MULTIPLE CHOICE QUESTION

1 min • 1 pt

sin(5π/3)=

1/2

-√3/2

√3/2

-1/2

Tags

CCSS.HSF.TF.A.2

MULTIPLE CHOICE QUESTION

1 min • 1 pt

sin(7π/4)

1/2

-√2/2

√2/2

-1/2

Tags

CCSS.HSF.TF.A.2

MULTIPLE CHOICE QUESTION

1 min • 1 pt

sin(3π/2)

-1

1/2

Tags

CCSS.HSF.TF.A.2

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

What is half a circle in radians?

π/4

2π

π/2

Tags

CCSS.HSF.TF.A.1

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

cos 5π/6

-1/2

1/2

√3/2

-√3/2

Tags

CCSS.HSF.TF.A.2

MULTIPLE CHOICE QUESTION

2 mins • 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

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Evaluating with the Unit Circle

Based on your unit circle cos(0^o)=

sin(5π/3)=

sin(7π/4)

sin(3π/2)

What is half a circle in radians?

cos 5π/6

sinθ is positive in

If sin A < 0 and cos A < 0, then what quadrant is A in?

sin 7π/6

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Evaluating with the Unit Circle

Based on your unit circle cos(0o)=

sin(5π/3)=

sin(7π/4)

sin(3π/2)

What is half a circle in radians?

cos 5π/6

sinθ is positive in

If sin A < 0 and cos A < 0, then what quadrant is A in?

sin 7π/6

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Based on your unit circle cos(0^o)=