Free Printable WorksheetMathTrigonometryMath CurriculumTRIG.89

TRIG.89 Check an identity numerically and interpret discrepancies Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Trigonometry Math worksheet provides structured practice on TRIG.89 Check an identity numerically and interpret discrepancies. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

TRIG.89 Check an identity numerically and interpret discrepancies - Check an identity numerically and interpret discrepancies

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.89 Check an identity numerically and interpret discrepancies skill assessments:

Problem 1Difficulty: Mastery

A student checks two expressions and gets agreement to 3 decimals. Which method best reduces the chance that rounding is hiding a real disagreement?

ARound to fewer decimals so numbers look cleaner.

BTest only x = 0 and x = π because they are exact.

CCompute the difference LHS−RHS using higher precision and test a variety of values, especially away from points that make denominators small.

DSwitch from radians to degrees mid-calculation.

Solution & Explanation:Using higher precision and a difference calculation makes discrepancies easier to see, while varied test points reduce coincidental matches.

Problem 2Difficulty: Mastery

A student numerically checks the identity sin(3x) = 3sin(x) − 4sin³(x) at x = 20° and it matches. Why is a proof still necessary even though this identity is true?

ABecause triple-angle identities are never provable.

BBecause numerical checking alone cannot establish universal truth; a proof shows the equality holds for every x (where both sides are defined), not just at the tested value.

CBecause this identity is true only at 20°.

DBecause cubing a sine makes it undefined sometimes.

Solution & Explanation:Even for true identities, the logical justification comes from algebraic derivation (e.g., using angle-addition formulas), not from finite numerical agreement.

Problem 3Difficulty: Mastery

A student computes LHS = 0.500000000 and RHS = 0.499999875. What is |LHS − RHS|?

Solution & Explanation:Carry out the requested computation carefully and keep the answer in the requested form. The result is 0.000000125.

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Frequently Asked Questions

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QIs this TRIG.89 Check an identity numerically and interpret discrepancies worksheet free for teachers and homeschoolers?

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QWhat grade level and standards does this worksheet align with?

This worksheet is designed specifically for Trigonometry Math students. It aligns with educational standard TRIG.89 (Check an identity numerically and interpret discrepancies).