Reciprocal Trig Functions Quiz

Authored by Jacqueline Pfaltz

Mathematics

10th - 12th Grade

CCSS covered

Used 22+ times

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8 questions

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MULTIPLE CHOICE QUESTION

45 sec • 1 pt

What does
$\sec\theta$ represent?

$\frac{1}{\cos\theta}$

$\frac{1}{\sin\theta}$

$\frac{1}{\tan\theta}$

What does
$\csc\theta$ represent?

$\frac{1}{\cos\theta}$

$\frac{1}{\sin\theta}$

$\frac{1}{\tan\theta}$

What does
$\cot\theta$ represent?
Check all that apply! (2 answers)

$\frac{1}{\cos\theta}$

$\frac{1}{\sin\theta}$

$\frac{\cos\theta}{\sin\theta}$

$\frac{1}{\tan\theta}$

FILL IN THE BLANKS QUESTION

2 mins • 1 pt

Use your calculator to determine the value of $\cot\left(115\degree\right).$ Round to the nearest hundredth!

(a)

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

In simplest radical form, $\sec\left(135\degree\right)$ is equal to

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

$-\sqrt{2}$

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

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

Answer explanation

$\sec\left(135\degree\right)=\frac{1}{\cos\left(135\degree\right)}=\frac{1}{-\frac{\sqrt{2}}{2}}$ $=-\frac{2}{\sqrt{2}}\times\frac{\sqrt{2}}{\sqrt{2}}=-\frac{2\sqrt{2}}{2}=-\sqrt{2}$

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

For which of the following values of $\theta$ is $\cot\theta$ undefined?

$60\degree$

$90\degree$

$180\degree$

$135\degree$

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

For the angle $\theta$ it is know that $\csc\theta\ >0\$ and $\sec\theta\ <0.\$ When drawn in standard position, the terminal ray of $\theta$ lies in quadrant

III

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Reciprocal Trig Functions

What does sec⁡θ\sec\thetasecθ represent?

What does csc⁡θ\csc\thetacscθ represent?

What does cot⁡θ\cot\thetacotθ represent?Check all that apply! (2 answers)

Use your calculator to determine the value of cot⁡(115°).\cot\left(115\degree\right).cot(115°). Round to the nearest hundredth! (a)

In simplest radical form, sec⁡(135°)\sec\left(135\degree\right)sec(135°) is equal to

For which of the following values of θ\thetaθ is cot⁡θ\cot\thetacotθ undefined?

For the angle θ\thetaθ it is know that csc⁡θ >0 \csc\theta\ >0\ cscθ >0 and sec⁡θ <0. \sec\theta\ <0.\ secθ <0. When drawn in standard position, the terminal ray of θ\thetaθ lies in quadrant

What questions do you have about anything in the trig unit?

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What does
$\sec\theta$ represent?

What does
$\csc\theta$ represent?

What does
$\cot\theta$ represent?
Check all that apply! (2 answers)

Use your calculator to determine the value of $\cot\left(115\degree\right).$ Round to the nearest hundredth!

(a)

In simplest radical form, $\sec\left(135\degree\right)$ is equal to

For which of the following values of $\theta$ is $\cot\theta$ undefined?

For the angle $\theta$ it is know that $\csc\theta\ >0\$ and $\sec\theta\ <0.\$ When drawn in standard position, the terminal ray of $\theta$ lies in quadrant