91¶¶Òõ

Please consent to cookies to view content.

' ); iframeDoc.close(); } } } } } const observer = new MutationObserver(switchSrc); observer.observe(document.documentElement, { childList: true, subtree: true, }); })();

91¶¶Òõ

Resources Education Jobs Schools directory News Magazine Courses Log out Help
Home feed
My list
Courses My Jobs Job alerts My CV Career preferences Resources Author dashboard
Settings
Edit account Log out
Home Resources Jobs Schools directory News Magazine Courses Register for free Log in Help

Home feed Edit account About us My products 91¶¶Òõ for schools Work for 91¶¶Òõ Log out
Trigonometric Ratios Worksheet (with solutions)

Trigonometric Ratios Worksheet (with solutions)

Subject: Mathematics

Age range: 14-16

Resource type: Worksheet/Activity

Last updated

2 August 2026

pdf, 126.72 KB
pdf, 126.72 KB

An introductory worksheet 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 and to associate the sine or cosine of an angle to the cosine or sine of its complementary angle. Detailed solutions are included.

Get this resource as part of a bundle and save up to 36%

A bundle is a package of resources grouped together to teach a particular topic, or a series of lessons, in one place.

Bundle

Right Triangle Trigonometry Worksheets | SOH CAH TOA | Finding Sides & Angles

Take the stress out of teaching Right-Angled Triangle Trigonometry with this ready-to-print SOHCAHTOA Worksheet Bundle! This comprehensive resource helps GCSE Maths and Key Stage 4 students master evaluating trigonometric ratios, finding missing side lengths, and calculating missing acute angles. Complete with step-by-step teacher answer keys, it is perfect for homework, classwork, or exam revision. ________________________________________ Help your students visualise and conquer right-angled triangle trigonometry! This data-driven practice pack breaks down complex SOHCAHTOA concepts into clear, digestible steps. Whether your students are calculating a missing side or using inverse functions to find an angle, these worksheets build the confidence they need for their GCSE exams. **Topics Covered** • Trigonometric Ratios: Writing sine, cosine, and tangent fractions. • Finding Missing Sides: Solving algebraic equations with variables in the numerator and denominator. • Finding Missing Angles: Utilising inverse trigonometric ratios with a scientific calculator. • Special Right-Angled Triangles: Solving triangles with 45-degree and 30/60-degree setups. • Complementary Angle Identities: Practising co-function relationships like sin(50) = cos(40). **What is Included?** • **Evaluating Ratios Worksheets:** Visual triangle practice to isolate opposite, adjacent, and hypotenuse sides. • **Finding Missing Sides Practice:** Varied problem sets to develop algebraic solving skills. • **Finding Missing Angles Practice:** Exercises focused on proper scientific calculator usage. • **Comprehensive Revision Pages:** Mixed practice combining all right-angled triangle solving methods. • **Full Answer Keys**: Detailed, step-by-step solutions to save you hours of marking. **Why Teachers Love It** • No Prep Required: Just print and copy for your class. • Scaffolded Layout: Moves smoothly from simple ratios to complex multi-step solving. • Clear Visuals: High-quality triangle diagrams prevent student confusion. • Versatile Use: Ideal for cover lessons, intervention groups, or homework. ________________________________________

£3.35
Bundle

Trigonometry Worksheets Bundle - Soh Cah Toa Right Triangles Unit Circle

Three worksheets on trigonometric ratios sine, cosine and tangent. The exercises require to evaluate these numbers for an angle in a given triangle, to identify the trigonometric number that corresponds to a given ratio for a given triangle, to use a calculator to evaluate the trigonometric number of a given angle or the angle given one of its trigonometric numbers and to associate the sine or cosine of an angle to the cosine or sine of its complementary angle. In addition the exercises in the third worksheet require to use the unit circle to find the sign and the value of the trigonometric ratios of given angles. Detailed solutions are included. Master trigonometry with this comprehensive, no-prep 3-worksheet resource pack! Perfect for GCSE Higher, IGCSE, and AS/A-Level Mathematics, this collection features targeted practice for right-angled triangle ratios (SohCahToa), inverse calculator functions, and unit circle properties. Includes quadrant sign tracking, terminal coordinates, and complete, step-by-step worked solutions. ________________________________________ Looking for rigorous, no-prep math resources to help your students master both right-angled triangle trigonometry and the unit circle? This highly focused, 3-worksheet topic pack is designed to perfectly bridge Key Stage 4 geometry skills with advanced algebraic concepts. It scaffolds learning by moving from foundational matching and calculator practice up to coordinate plane terminal vectors and true/false quadrant properties. Whether you need structured cover lessons, targeted homework tasks, daily classroom practice, or a complete exam revision booklet, this resource is ready to print and use immediately! Every single worksheet comes paired with a complete, fully worked step-by-step solution key. The answer keys explicitly demonstrate how to find missing side lengths via Pythagoras' theorem, calculate decimal operations, and map unit circle coordinate pairs—making marking an absolute breeze and enabling effective student self-assessment or peer-marking. ________________________________________ **What Skills & Topics Are Covered?** **Worksheets 1 & 2: Right-Angled Triangle Trigonometry & SohCahToa** • Building Ratios: Writing out exact fractional statements for sine, cosine, and tangent based on reference angles. • Applying Pythagoras' Theorem: Core questions requiring students to calculate a missing hypotenuse or shorter side before setting up their SohCahToa fractions. • Calculator Practice & Decimal Rounding: Targeted exercises evaluating specific trigonometric functions to exactly three decimal places. • Finding Inverse Angles: Using inverse functions to find acute angles to the closest whole integer from decimal values. • Complementary Angle Properties: Proving underlying identities by filling in the blanks (e.g., matching sine and cosine equivalence loops, such as sin 50° = cos 40°). **Worksheet 3: The Unit Circle & Coordinate Trigonometry** • Quadrant Sign Tracking: Determining the positive or negative sign of the sine, cosine, tangent, and cotangent for acute, obtuse, reflex, and negative rotation angles (e.g., 197° or -120°). • Terminal Side Location: Finding the exact quadrant of the terminal side of an angle based on conditional inequalities. • Coordinate Plane Points: Evaluating standard position angles intersecting the unit circle at radical coordinate points. • Trigonometric Identity Logic: Evaluating a comprehensive series of conceptual True or False statements regarding angle rotations, quadrants, and values. ________________________________________ **Why Teachers Choose This Resource Pack:** • Zero Prep Needed: Save hours of planning—just download, print, and you are ready to go! • Step-by-Step Solutions: Complete answer keys do not just give final answers; they show the geometric calculations and coordinate paths explicitly. • Scaffolded Layout: Moves smoothly from basic right-angled triangle side matching up to analytical A-Level unit circle logic. • Universal, Clean Design: Styled neatly without distracting clutter, maximizing student focus during revision. ________________________________________ **Curriculum Alignment & Target Groups:** • Key Stage 4 (KS4): Ideal for Year 10 and Year 11 preparation across Higher GCSE/IGCSE geometry blocks (focusing on right-triangle ratios and calculator inverse angles). • Key Stage 5 (KS5): Excellent foundational review for Year 12 and Year 13 students completing AS-Level and A-Level Mathematics (Pure Math strands focusing on quadrants and unit circle properties). • Exam Boards: Fully supports the curriculum objectives for AQA, Edexcel, OCR GCSE / A-Level, and Cambridge CIE / Oxford AQA IGCSE exams. ________________________________________

£3.45

Reviews

Something went wrong, please try again later.

This resource hasn't been reviewed yet

To ensure quality for our reviews, only customers who have purchased this resource can review it

to let us know if it violates our terms and conditions.
Our customer service team will review your report and will be in touch.

£2.15
(no rating)0 reviews

Not quite what you were looking for?Search by keyword to find the right resource: