Free Printable WorksheetMathTrigonometryMath CurriculumUTRI.AM.3

TRIG.29 Reference angles and coterminal angles Worksheet

Download our free printable Trigonometry Math worksheet on TRIG.29 Reference angles and coterminal angles. Ideal for classroom practice, homeschool learning, independent homework, and standardized test preparation. Available in both print-ready PDF and editable DOCX formats.

Choose your preferred download format:

100% Free • No registration or login required • Instant file access

Prefer interactive practice with instant grading and explanations?Practice Reference angles and coterminal angles Online

Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Trigonometry Math worksheet provides structured practice on TRIG.29 Reference angles and coterminal angles. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

TRIG.29 Reference angles and coterminal angles - Primary standard selected for prompt fields in this prompt cell: UTRI.AM.3. Skill statement in this prompt cell: Select the correct coterminal angle, reference angle, or quadrant for a given angle in standard position. Associated standards listed with this skill in this prompt cell: UTRI.AM.3; VA T.CT.1b,d; TEKS §111.42(c)(4)(C). Use this prompt-provided wording as the supporting standard description for this workflow.

Whether you are an educator preparing classroom handouts, a tutor reinforcing weekly topics, or a parent supporting homeschool learning, this printable resource gives students the deliberate practice required to achieve subject fluency and master state standards.

Grade

Trigonometry

Subject

Math

Domain

Math Curriculum

Formats

PDF & DOCX

Sample Practice Problems

Preview the types of problems and questions covered in this worksheet

Below are sample questions representative of the exercises included on this worksheet and related TRIG.29 Reference angles and coterminal angles skill assessments:

Problem 1Difficulty: Mastery
Choose the complete description of -1,675 degrees.
ACoterminal with 55 degrees, Quadrant I, reference angle 55 degrees
BCoterminal with 125 degrees, Quadrant II, reference angle 55 degrees
CCoterminal with 235 degrees, Quadrant III, reference angle 55 degrees
DCoterminal with 305 degrees, Quadrant IV, reference angle 55 degrees
Solution & Explanation:Add 1,800 degrees to -1,675 degrees to get 125 degrees. Since 125 is in Quadrant II, the reference angle is 180 - 125 = 55 degrees.
Problem 2Difficulty: Mastery
What is the negative coterminal angle between -360 degrees and 0 degrees for 1,112 degrees? Enter only the number of degrees.
Solution & Explanation:Subtract 1,080 degrees from 1,112 degrees to get 32 degrees. Then subtract 360 degrees to get -328 degrees.
Problem 3Difficulty: Mastery
Which angle has reference angle pi/5 and lies in Quadrant III?
A4pi/5
B6pi/5
C8pi/5
D9pi/5
Solution & Explanation:A Quadrant III angle with reference angle pi/5 is pi + pi/5 = 6pi/5.

Want more practice questions with step-by-step guidance?

Practice All Questions Online

Frequently Asked Questions

Common questions about printing, using, and solving this worksheet

QHow do I download and print this TRIG.29 Reference angles and coterminal angles worksheet?

Click either the "Download PDF" or "Download DOCX" button at the top of the page. You can print the PDF directly from your browser or edit the DOCX file in Microsoft Word or Google Docs to tailor the questions to your students.

QIs this TRIG.29 Reference angles and coterminal angles worksheet free for teachers and homeschoolers?

Yes! All learning materials, worksheets, and practice resources on Free K12 Practice are 100% free for teachers, students, parents, tutors, and homeschooling families for non-commercial educational use. No account or subscription is required.

QCan students practice TRIG.29 Reference angles and coterminal angles online with instant feedback?

Yes! In addition to this printable worksheet, students can practice TRIG.29 Reference angles and coterminal angles interactively on our platform with automated grading, instant score tracking, and detailed step-by-step solutions.

QWhat grade level and standards does this worksheet align with?

This worksheet is designed specifically for Trigonometry Math students. It aligns with educational standard UTRI.AM.3 (Primary standard selected for prompt fields in this prompt cell: UTRI.AM.3. Skill statement in this prompt cell: Select the correct coterminal angle, reference angle, or quadrant for a given angle in standard position. Associated standards listed with this skill in this prompt cell: UTRI.AM.3; VA T.CT.1b,d; TEKS §111.42(c)(4)(C). Use this prompt-provided wording as the supporting standard description for this workflow.).

Related Trigonometry Math Resources

Continue learning with complementary skill worksheets and online practice