Free Printable WorksheetMathTrigonometryMath CurriculumUTRI.UC.2

TRIG.39 Special angles and exact trigonometric values Worksheet

Download our free printable Trigonometry Math worksheet on TRIG.39 Special angles and exact trigonometric values. 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 Special angles and exact trigonometric values Online

Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Trigonometry Math worksheet provides structured practice on TRIG.39 Special angles and exact trigonometric values. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

TRIG.39 Special angles and exact trigonometric values - Primary standard selected for prompt fields in this prompt cell: UTRI.UC.2. Skill statement in this prompt cell: Select the exact value of sine, cosine, or tangent at a special angle (in radians) using unit-circle or special-triangle reasoning. Associated standards listed with this skill in this prompt cell: UTRI.UC.2; CCSS HSF.TF.A.3 (+); FL MA.912.T.2.1; VA T.CT.2c. 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.39 Special angles and exact trigonometric values skill assessments:

Problem 1Difficulty: Mastery
Which exact value is cos(37pi/6)?
A-sqrt(3)/2
Bsqrt(3)/2
C1
Dsqrt(2)/2
Solution & Explanation:The given angle is coterminal with pi/6. The reference angle is pi/6 in quadrant I. Cosine uses the unit-circle x-coordinate, so the exact value is sqrt(3)/2.
Problem 2Difficulty: Mastery
Which exact value is tan(15pi/2)?
Aundefined
B-sqrt(3)/2
C1/2
D-1
Solution & Explanation:The given angle is coterminal with 3pi/2. At 3pi/2, cos(theta) = 0. Since tan(theta) = sin(theta)/cos(theta), division by 0 makes tangent undefined.
Problem 3Difficulty: Mastery
The angle -9pi/4 is coterminal with 7pi/4. What is sin(-9pi/4)?
Asqrt(2)/2
B-1/2
C-sqrt(2)/2
D1
Solution & Explanation:The given angle is coterminal with 7pi/4. The reference angle is pi/4 in quadrant IV. Sine uses the unit-circle y-coordinate, so the exact value is -sqrt(2)/2.

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.39 Special angles and exact trigonometric values 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.39 Special angles and exact trigonometric values 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.39 Special angles and exact trigonometric values online with instant feedback?

Yes! In addition to this printable worksheet, students can practice TRIG.39 Special angles and exact trigonometric values 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.UC.2 (Primary standard selected for prompt fields in this prompt cell: UTRI.UC.2. Skill statement in this prompt cell: Select the exact value of sine, cosine, or tangent at a special angle (in radians) using unit-circle or special-triangle reasoning. Associated standards listed with this skill in this prompt cell: UTRI.UC.2; CCSS HSF.TF.A.3 (+); FL MA.912.T.2.1; VA T.CT.2c. 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