Free Printable WorksheetMathGeometryMath CurriculumG-SRT.C.6-8

GEO.98 Use complementary angle relationships in trigonometry Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Geometry Math worksheet provides structured practice on GEO.98 Use complementary angle relationships in trigonometry. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

GEO.98 Use complementary angle relationships in trigonometry - Primary standard selected for prompt fields in this prompt cell: CCSS G-SRT.C.6-8. Skill statement in this prompt cell: Select the correct relationship between trigonometric functions of complementary angles and use it to choose a correct value or expression. Associated standards listed with this skill in the curriculum source: CCSS G-SRT.C.6-8; VA G.TR.4; FL MA.912.T.1.*; TEKS §111.41(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

Geometry

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 GEO.98 Use complementary angle relationships in trigonometry skill assessments:

Problem 1Difficulty: Mastery
A student writes cos(90 degrees - x) = cos(x) for every acute x. What is the most precise correction?
Acos(90 degrees - x) = sin(x), and it equals cos(x) only when x = 45 degrees.
Bcos(90 degrees - x) = tan(x), and it equals cos(x) for all acute x.
Ccos(90 degrees - x) = 1/cos(x), and it never equals cos(x).
Dcos(90 degrees - x) = cos(x) is already correct for every acute angle.
Solution & Explanation:The cofunction identity is cos(90 degrees - x) = sin(x). Sine and cosine are equal only at 45 degrees in the acute-angle range, not for every x.
Problem 2Difficulty: Mastery
For acute angle x, tan(90 degrees - x) = 3/2. What is tan(x)?
A2/3
B3/2
C5/3
D3/5
Solution & Explanation:Tangent values of complementary acute angles are reciprocals. If tan(90 degrees - x) = 3/2, then tan(x) = 2/3.
Problem 3Difficulty: Mastery
If sin(4r - 1 degrees) = cos(p degrees) and r = 12, what must p be for the angle expressions to be complementary?
A41 degrees
B43 degrees
C47 degrees
D49 degrees
Solution & Explanation:Substitute r = 12: 4r - 1 = 48 - 1 = 47 degrees. The complementary angle is 90 - 47 = 43 degrees, so p = 43 degrees.

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Frequently Asked Questions

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QWhat grade level and standards does this worksheet align with?

This worksheet is designed specifically for Geometry Math students. It aligns with educational standard G-SRT.C.6-8 (Primary standard selected for prompt fields in this prompt cell: CCSS G-SRT.C.6-8. Skill statement in this prompt cell: Select the correct relationship between trigonometric functions of complementary angles and use it to choose a correct value or expression. Associated standards listed with this skill in the curriculum source: CCSS G-SRT.C.6-8; VA G.TR.4; FL MA.912.T.1.*; TEKS §111.41(c). Use this prompt-provided wording as the supporting standard description for this workflow.).

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