Free Printable WorksheetMathPre-CalculusMath CurriculumPre-CAL.91

Pre CAL.91 Evaluate Trigonometric Functions Given a Point on the Terminal Side 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.91 Evaluate Trigonometric Functions Given a Point on the Terminal Side. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

Pre-CAL.91 Evaluate Trigonometric Functions Given a Point on the Terminal Side - Evaluate Trigonometric Functions Given a Point on the Terminal Side

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.91 Evaluate Trigonometric Functions Given a Point on the Terminal Side skill assessments:

Problem 1Difficulty: Mastery
The terminal side of angle θ goes through P(-7√6, 8√13). What is the exact value of csc θ?
Solution & Explanation:First find r = √(x² + y²) = √(1126) = √1126. csc θ = r over y = √1126 over 8√13 = √14638 over 104.
Problem 2Difficulty: Mastery
Point P(-8√3, 6√6) lies on the terminal side of angle θ. Which value equals cos θ?
A3√17 over 17
B-2√34 over 17
C2√34 over 17
D-3√2 over 4
Solution & Explanation:First find r = √(x² + y²) = √(408) = 2√102. cos θ = x over r = -8√3 over 2√102 = -2√34 over 17. In the choices, that value appears in option B.
Problem 3Difficulty: Mastery
Point P(8√13, -9√7) lies on the terminal side of angle θ in standard position. Determine cot θ.
Solution & Explanation:cot θ = x over y = 8√13 over -9√7 = -8√91 over 63. (The signs of x and y determine the sign of cot.)

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QWhat grade level and standards does this worksheet align with?

This worksheet is designed specifically for Pre-Calculus Math students. It aligns with educational standard Pre-CAL.91 (Evaluate Trigonometric Functions Given a Point on the Terminal Side).

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