The terminal side of angle 𝝧 passes through the point P = (-2,7) . Find sin 𝝧

7 53 \frac{7}{\sqrt{53}} 5 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"> 7

7 45 \frac{7}{\sqrt{45}} 4 5 <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"> 7

− 2 53 -\frac{2}{\sqrt{53}} − 5 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

− 2 45 -\frac{2}{\sqrt{45}} − 4 5 <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

Use the unit circle to evaluate the following function cos ⁡ ( 2 π 3 ) \cos\left(\frac{2\pi}{3}\right) cos ( 3 2 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 -\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">

Advanced Math Practice Midterm Exam

Authored by Alaina Plant

Mathematics

11th - 12th Grade

CCSS covered

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15 questions

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MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Represent the inequality expression shown below in interval notation
$-4\le x\le2$

$\left[-4,2\right]$

$\left(-4,2\right)$

$\left[-4,2\right)$

$\left(-4,2\right]$

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following is NOT an irrational number?

$\sqrt{3}$

$\sqrt{11}$

$\pi$

$\sqrt{16}$

True or False:
A real number can be both rational and irrational at the same time.

True

False

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Convert the following angle into radians. State your final answer as a simplified fraction.
$320\degree$

$\frac{16\pi}{9}$

$\frac{320\pi}{180}$

$\frac{576000}{\pi}$

$\frac{16}{9}$

Convert the following angle into degrees. You do not have to type the degree symbol with your answer.
$\frac{2\pi}{5}$

(a)

In which quadrant is the following angle located in?
$-198\degree$

Quadrant 1

Quadrant 2

Quadrant 3

Quadrant 4

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In which quadrant is the following angle located in?
$750\degree$
Hint: Find a smaller coterminal angle to help you determine the position.

Quadrant 1

Quadrant 2

Quadrant 3

Quadrant 4

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Advanced Math Practice Midterm Exam

Represent the inequality expression shown below in interval notation
$-4\le x\le2$

Which of the following is NOT an irrational number?

True or False:
A real number can be both rational and irrational at the same time.

Convert the following angle into radians. State your final answer as a simplified fraction.
$320\degree$

Convert the following angle into degrees. You do not have to type the degree symbol with your answer.
$\frac{2\pi}{5}$

(a)

In which quadrant is the following angle located in?
$-198\degree$

In which quadrant is the following angle located in?
$750\degree$
Hint: Find a smaller coterminal angle to help you determine the position.

Use the triangle shown above to evaluate cos 𝝧.
Type answer as a simplified fraction in the form a/b.

(a)

Use the triangle shown above to evaluate sec 𝝧.
Type answer as a simplified fraction in the form a/b.

(a)

Use the triangle shown above to evaluate tan 𝝧.
Type answer as a simplified fraction in the form a/b.

(a)

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Advanced Math Practice Midterm Exam

Represent the inequality expression shown below in interval notation −4≤x≤2-4\le x\le2−4≤x≤2

Which of the following is NOT an irrational number?

True or False: A real number can be both rational and irrational at the same time.

Convert the following angle into radians. State your final answer as a simplified fraction. 320°320\degree320°

Convert the following angle into degrees. You do not have to type the degree symbol with your answer. 2π5\frac{2\pi}{5}52π​ (a)

In which quadrant is the following angle located in? −198°-198\degree−198°

In which quadrant is the following angle located in? 750°750\degree750° Hint: Find a smaller coterminal angle to help you determine the position.

Use the triangle shown above to evaluate cos 𝝧. Type answer as a simplified fraction in the form a/b. (a)

Use the triangle shown above to evaluate sec 𝝧. Type answer as a simplified fraction in the form a/b. (a)

Use the triangle shown above to evaluate tan 𝝧. Type answer as a simplified fraction in the form a/b. (a)

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Represent the inequality expression shown below in interval notation
$-4\le x\le2$

True or False:
A real number can be both rational and irrational at the same time.

Convert the following angle into radians. State your final answer as a simplified fraction.
$320\degree$

Convert the following angle into degrees. You do not have to type the degree symbol with your answer.
$\frac{2\pi}{5}$

(a)

In which quadrant is the following angle located in?
$-198\degree$

In which quadrant is the following angle located in?
$750\degree$
Hint: Find a smaller coterminal angle to help you determine the position.

Use the triangle shown above to evaluate cos 𝝧.
Type answer as a simplified fraction in the form a/b.

(a)

Use the triangle shown above to evaluate sec 𝝧.
Type answer as a simplified fraction in the form a/b.

(a)

Use the triangle shown above to evaluate tan 𝝧.
Type answer as a simplified fraction in the form a/b.

(a)