The Tangent Ratio WORKSHEET

Suitable for Year groups: Year 9, Year 10, Year 11
GCSE Tier: Foundation/Higher
Targeting grades: 4-5
Prerequisite knowledge: Labelling sides in right angled triangles. Solving equations. Substitution.
Learning Objective: Use trigonometric ratios in similar triangles to solve problems involving right-angled triangles.

The Tangent Ratio WORKSHEET DESCRIPTION

The worksheet is thoughtfully structured to reinforce the tangent ratio through practice, offering problems that ensure a balance of conceptual understanding and procedural fluency.

In Section A, students get to grips with writing the value of tan θ as a fraction for four provided triangles.

Section B transitions to calculating angles using the tangent ratio.

Learners move on to calculating side lengths in Section C; here they will use the tangent ratio to determine the length of the opposite or adjacent side.

Section D challenges students with 4 problems involving finding unknown side lengths and angles in shapes. Here learners will have to find right-angled triangles within shapes such as a rectangle, trapezia, and an isosceles triangle.

It is a valuable resource for students aiming to enhance their trigonometry skills systematically.

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

Frequently Asked Questions

Use trigonometric ratios in similar triangles to solve problems involving right-angled triangles.