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Quiz Cumulative Review Trig 1.1 and 1.3 - Printable Mathematics Worksheets year 11 - Wayground

Quiz Cumulative Review Trig 1.1 and 1.3

15 questions

11th - 11th Grade

Mathematics

Quiz Cumulative Review Trig 1.1 and 1.3 is a free printable Grade 11 mathematics worksheet that reviews trigonometric functions using coordinate points, quadrants, and terminal angles. Students complete 15 items: nine multiple-choice questions, three fill-in-the-blank responses, two multiple-select questions, and one open-ended explanation. The review asks students to determine r from x- and y-coordinates, identify signs and function values by quadrant, calculate sine, cosine, tangent, and cotangent, recognize when tangent is undefined, and apply SOH-CAH-TOA to right triangles. It also revisits clockwise and counterclockwise angle measurement and identifies the quadrant of a negative angle. The open-ended item requires students to explain a process for finding sine, giving teachers evidence of procedural understanding rather than answer selection alone. The worksheet includes a complete answer key for efficient checking and feedback.

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Quiz Cumulative Review Trig 1.1 and 1.3

Total questions: 15

Name
Class
Date
1.

The trigonometric functions 

 cos⁡θ  and sec⁡θ\cos\theta\ \ and\ \sec\theta  which are cousins, are both positive in which Quadrant?

a)

QI

b)

QIV

c)

QIII

d)

QII

2.

We can use SOH-CAH-TOA for...

select the correct answer!

a)

Any triangle ever

b)

Non-right triangles only

c)

Right Triangles only

d)

Never

3.

The trigonometric functions use the letters (x, y and r) to form their identities and create their values! Which of these letters will always have a positive value? Is it x,y or r? Only type one letter in lower case form.

(a)  

4.

What is the value of r, given the point

(-2, 10)? Make sure to pick the most simplified answer.

a)

104\sqrt{104}

b)

464\sqrt{6}

c)

2262\sqrt{26}

d)

96\sqrt{96}

5.

What are the trigonometric function values for

 sin⁡θ and cos⁡θ\sin\theta\ and\ \cos\theta  if the given point is (3, -6)?
Select the correct answers.

a)

 Sinθ=−255Sin\theta=-\frac{2\sqrt{5}}{5}  

b)

 Sinθ=−25Sin\theta=-\frac{2}{\sqrt{5}}  

c)

 Cosθ=55Cos\theta=\frac{\sqrt{5}}{5}  

d)

 Cosθ=15Cos\theta=\frac{1}{\sqrt{5}}  

6.

Given the picture Find the r value. Then find the  Tanθ, Cotθ function values.Tan\theta,\ Cot\theta\ function\ values.  


Select the correct answer.

a)

 r=25,Tanθ=−2,Cotθ=−12r=2\sqrt{5},Tan\theta=-2,Cot\theta=-\frac{1}{2}  

b)

 r=45 , tan⁡θ=−12, cot⁡θ=−2r=4\sqrt{5\ },\ \tan\theta=-\frac{1}{2},\ \cot\theta=-2  

c)

 r=20,Tanθ=12,Cotθ=2r=\sqrt{20},Tan\theta=\frac{1}{2},Cot\theta=2  

d)

 r=25, Tanθ=−12,Cotθ=−2r=2\sqrt{5},\ Tan\theta=-\frac{1}{2},Cot\theta=-2  

7.

Given the trigonometric point (-5, y) is in quadrant III with a r value of 13. What is the y-value? Type your answer in the blank provided (no spaces)

(a)  

8.

Given the point below, what is the trig function value for  CosθCos\theta  ?

 (−3,1)\left(-\sqrt{3},1\right) 

a)

 Cosθ=−32Cos\theta=-\frac{\sqrt{3}}{2}  

b)

 Cosθ=32Cos\theta=\frac{\sqrt{3}}{2}  

c)

 Cosθ=102Cos\theta=\frac{\sqrt{10}}{2}  

d)

 Cosθ=−233Cos\theta=-\frac{2\sqrt{3}}{3}  

9.

 Find TanθFind\ Tan\theta  if the trig point given is (0, -4). Type your full answer in the blank provided. (no spaces needed)

(a)  

10.

What is true about the trigonometric point given (-4, -3)?

Click all the correct answers.

a)

r = 5

b)

The point falls in Quadrant II

c)

Cosθ=−45Cos\theta=-\frac{4}{5}

d)

Tanθ=34Tan\theta=\frac{3}{4}

e)

Tanθ and CotθTan\theta\ and\ Cot\theta are the only two positive trig function values where this point lies!

11.

Explain the process to find the SinθSin\theta 

if the trigonometric function point given is (-5, 12) ?

4 lines
12.

Throw back!

Negative angles are measured in which direction from standard position?

a)

Clockwise

b)

Counterclockwise

13.

Throwback Question: Positive angles are measured in which direction from standard position?

a)

Clockwise

b)

Counterclockwise

14.

Which  picture represents a

 5100510^0  angle sketched whose terminal side falls in QII.

a)
b)
c)
d)
15.

In which quadrant is -430⁰

a)

I

b)

II

c)

III

d)

IV

Answer Key

Quiz Cumulative Review Trig 1.1 and 1.3

Total questions: 15

1.
b)

QIV

2.
c)

Right Triangles only

3.
r
4.
c)

2262\sqrt{26}

5.
a)

 Sinθ=−255Sin\theta=-\frac{2\sqrt{5}}{5}  

, c)

 Cosθ=55Cos\theta=\frac{\sqrt{5}}{5}  

6.
d)

 r=25, Tanθ=−12,Cotθ=−2r=2\sqrt{5},\ Tan\theta=-\frac{1}{2},Cot\theta=-2  

7.
-12
8.
a)

 Cosθ=−32Cos\theta=-\frac{\sqrt{3}}{2}  

9.
Undefined
10.
a)

r = 5

, c)

Cosθ=−45Cos\theta=-\frac{4}{5}

, d)

Tanθ=34Tan\theta=\frac{3}{4}

, e)

Tanθ and CotθTan\theta\ and\ Cot\theta are the only two positive trig function values where this point lies!

11.
n/a
12.
a)

Clockwise

13.
b)

Counterclockwise

14.
a)
15.
d)

IV

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FAQs

What does this trigonometry review worksheet cover?

This Grade 11 worksheet reviews how to use coordinate points to find r and evaluate sine, cosine, tangent, and cotangent, including their signs in different quadrants. Its 15 questions combine multiple choice, fill-in-the-blank, multiple-select, and open-ended formats, so students practice both calculating values and explaining how to find sine.

How can I use this worksheet to teach evaluating trig functions from coordinate points?

Introduce the coordinate relationships x, y, and r, then model finding r and using the appropriate quotient for each trigonometric function. Have students annotate the quadrant and expected signs before solving items such as the points (3, -6), (-5, y), and (-4, -3), and use the open-ended sine question to prompt students to explain their process.

What mistakes should I watch for on this trigonometry worksheet?

Watch for students assigning the wrong signs to sine or cosine after identifying a point’s quadrant, simplifying radicals incorrectly when finding r, or reversing tangent and cotangent. Students may also treat SOH-CAH-TOA as valid for every triangle, miss that tangent is undefined for the point (0, -4), or confuse clockwise negative angles with counterclockwise positive angles.

How do I assign and grade this trigonometry worksheet?

This worksheet is available as a printable PDF and as a digital quiz on Wayground, and it includes a complete answer key for the multiple-choice, fill-in-the-blank, multiple-select, and open-ended items. Printable submissions can be graded by scanning student work with the Wayground for Teachers app.

How can I differentiate this coordinate-trigonometry worksheet for my students?

Use the worksheet’s Advanced Settings to increase font size or spacing around the coordinate-point calculations and response areas, or select a dyslexia-friendly font to improve readability. You can also translate the worksheet through Advanced Settings while retaining the mathematical notation and trigonometric expressions.

Where can I find more free worksheets like this on Wayground?

Wayground offers a comprehensive collection of free printable worksheets and practice problems across subjects, with downloadable PDFs and answer keys to support essential skills and concepts. Browse more resources at https://wayground.com/en-us/worksheets.

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