Geometry Right Triangle Trigonometry SOHCAHTOA Worksheets Bundle

Three worksheets on the trigonometric ratios sine, cosine and tangent. The exercises require to evaluate these ratios for an angle in a given triangle, to identify the trigonometric ratio that corresponds to a given ratio for a given triangle, to use a calculator to evaluate the trigonometric ratio of a given angle or the angle given one of its trigonometric ratios, to use trigonometric ratios to find a missing side or angle measure, to associate the sine or cosine of an angle to the cosine or sine of its complementary angle and and to solve word problems using trigonometric ratios. Detailed solutions are included.

Looking for a comprehensive, no prep collection of resources to help your secondary maths students master right-angled triangle trigonometry? This multi-set practice bundle provides an ultimate learning path, taking students from basic side ratio calculations to missing angle determinations and real-world word problems.

-Whether your classes are just learning to set up fractional ratios for sine, cosine, and tangent or are applying SOHCAHTOA to solve contextual application diagrams, this resource bundle has everything you need. Best of all, complete, step-by-step solutions are included for every problem to save you hours of marking time or to allow for easy student self-assessment!

What’s Included in This Resource Bundle?
This package features carefully structured problem sets complete with full solutions across multiple practice paths:

• Calculating Basic Trigonometric Ratios – Students practice identifying opposite, adjacent, and hypotenuse sides to find exact fractional and simplified trigonometric values for acute angles.
• Pythagorean Theorem Integration – Triangle problems require students to calculate a missing side length using the Pythagorean formula before they can set up the requested sine, cosine, or tangent ratios.
• True or False Concept Checks – Rigorous conceptual exercises that test student understanding of trigonometric properties, function definitions, and complementary angle relationships.
• Solving for Missing Variables & Side Lengths – Practice exercises where students use a given acute angle value and a single side length to algebraically solve for missing triangle dimensions.
• Inverse Trigonometric Functions – Problems that require students to evaluate inverse sine, cosine, and tangent operations to solve for missing acute angle values to the nearest integer.
• Applied Real-World Word Problems – Contextual, diagram-based application problems including calculating safe ladder placements against a wall, finding the heights of buildings or lighthouses, and determining tree heights from shadow measurements.

Why Teachers Love This Resource Bundle:

• Ready to Print: Just download, photocopy, and you are ready to teach!
• Step-by-Step Answer Keys: Full calculations, geometric reasoning diagrams, and complete formula setups are provided for every single problem, making marking or peer-assessment a breeze.
• Scaffolded Practice: Tasks build naturally from simple side ratio identifications to abstract value calculations and applied word problems.
• Versatile Classroom Use: Perfect for main lesson tasks, independent classwork, homework assignments, cover work, or revision packs.

Skills Covered:

• Identifying opposite, adjacent, and hypotenuse sides relative to an acute angle.
• Setting up and simplifying sine, cosine, and tangent ratios.
• Using the Pythagorean Theorem to solve for missing triangle legs or hypotenuses.
• Solving right-angled triangles for missing side lengths and acute angle values.
• Applying SOHCAHTOA to real-world scenarios involving heights and distances.

Curriculum & Key Stage Alignment:

• Key Stages: Key Stage 3 (KS3) Extension & Key Stage 4 (KS4) GCSE Maths
• Exam Board Suitability: Ideal for Higher Tier GCSE (AQA, Edexcel, OCR)
• Topic: Geometry and Measures (\rightarrow ) Pythagoras and Trigonometry (\rightarrow ) Right-Angled Triangles