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Sine and Cosine Rules•
Trigonometry

The Cosine Rule - Finding Angles WORKSHEET

Suitable for Year groups: Year 10, Year 11
GCSE Tier: Higher
Targeting grades: 6-7
Prerequisite knowledge: Substitution. Solving equations.
Learning Objective: Know and apply the cosine rule to find unknown angles.

The Cosine Rule - Finding Angles WORKSHEET DESCRIPTION

Use this worksheet if you need to focus solely on using the Cosine rule to find missing angles in non-right-angled triangles.

In Section A, students start by labelling triangles appropriately, ensuring they can correctly identify sides and angles before applying the formula.

Section B introduces guided problems where students complete missing steps in cosine rule calculations to determine unknown angles. The fill-in-the-gaps format reinforces the correct sequence of operations while allowing students to focus on understanding how the formula works.

Section C presents more challenging problems where students apply the cosine rule independently to calculate unknown angles. One problem involves solving for two angles, extending the difficulty level.

This worksheet is effective because it provides a clear progression from guided practice to independent problem-solving. The variety of question formats makes it a valuable resource for classwork, revision, or homework.

All worksheets are created by the team of experienced teachers at Cazoom Maths.

The Cosine Rule - Finding Angles Worksheet suitable for students in year 10 and year 11

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Frequently Asked Questions

Students should be confident with substitution and solving equations before tackling these cosine rule problems. These prerequisite skills are essential because calculating unknown angles requires substituting known values into the cosine formula and then rearranging to solve for the angle. Without these foundational abilities, students will struggle with the algebraic manipulation needed throughout all sections.