Free Printable WorksheetMathPre-CalculusMath CurriculumPre-CAL.85

Pre CAL.85 Sum and Difference Formulas Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Pre-Calculus Math worksheet provides structured practice on Pre CAL.85 Sum and Difference Formulas. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

Pre-CAL.85 Sum and Difference Formulas - Sum and Difference Formulas

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

Pre-Calculus

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 Pre CAL.85 Sum and Difference Formulas skill assessments:

Problem 1Difficulty: Mastery

Choose the correct expansion for cos(3x + 2y).

Acos(3x) cos(2y) + sin(3x) sin(2y)

Bsin(3x) cos(2y) + cos(3x) sin(2y)

Csin(3x) cos(2y) − cos(3x) sin(2y)

Dcos(3x) cos(2y) − sin(3x) sin(2y)

Solution & Explanation:Use cos(u+v)=cosu cosv−sinu sinv with u=3x and v=2y.

Problem 2Difficulty: Mastery

Evaluate exactly: cos(15°)cos(45°) + sin(15°)sin(45°).

A½

C½√3

D¼(√6 + √2)

Solution & Explanation:Use cos(A−B)=cosA cosB+sinA sinB with A=45° and B=15°. This is cos30°=½√3.

Problem 3Difficulty: Mastery

Simplify: sin(5t − 45°).

A(½√2)(sin 5t + cos 5t)

B(½√2)(sin 5t − cos 5t)

C(½√2)(cos 5t − sin 5t)

D(½√2)(cos 5t + sin 5t)

Solution & Explanation:sin(5t−45)=sin5t cos45−cos5t sin45=(½√2)(sin5t−cos5t). This supports the listed correct answer.

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QIs this Pre CAL.85 Sum and Difference Formulas worksheet free for teachers and homeschoolers?

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