• Sine and Cosine Rules and Areas of Triangles

    Be confident using the cosine and sine rules (including the ambiguous case), finding the area of any triangle and applying these to a range of problems.

  • Equations and Identities Involving sin(x), cos(x) and tan(x)

    Master solving trigonometric equations, including using the range of values to determine the correct solutions, as well as using identities so solve quadratics in sin and cos and a range of other equations.

  • Solve challenging problems

    After solving a mixture of introductory GCSE and A-level style problems and harder maths challenge style problems, all with video solutions, you'll have really mastered the topics.

Hi, I'm Kevin, your teacher for this course!

I studied maths at Oxford University and learnt to teach at some of the UK's most prestigious private schools.  I'm also an experienced and highly sought after private tutor with a popular maths YouTube channel. I've created these Mathsaurus courses so you can learn to do maths like the very best on a fraction of the budget.

This course has been designed to replicate the experience of private tuition, with video hints and solutions as you work through the course that make it feel like you're in a real lesson.

I really enjoyed making this course and I hope that as well as learning a lot you're going to have fun along the way too. In the video introduction below I'll tell you more about the course.   Then if you're ready to get started  you can sign up for the free preview or the full course or learn more about it further down the page.

Reviews for Mathsaurus online courses

5 star rating

Sine and Cosine Rules

Joseph Donovan

A challenging topic delivered with searing exposition and clarity. Makes you fall in love with maths and want to do nothing all day but maths!

A challenging topic delivered with searing exposition and clarity. Makes you fall in love with maths and want to do nothing all day but maths!

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5 star rating

Nothing like it

Divij Divij

Amazing content and great user interface of the website, made it easy to navigate and answer through the questions.

Amazing content and great user interface of the website, made it easy to navigate and answer through the questions.

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5 star rating

Wish we had this course years ago

patrick ludden

This is a fantastic course and my children and I are really enjoying the material and looking forward to more great learning.

This is a fantastic course and my children and I are really enjoying the material and looking forward to more great learning.

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Get started for free now!

Try out the free preview sections before committing to the full course:

Free preview

Or sign up now and get started immediately!

  • £19.00

    Trigonometry + trigonometric equations

    30 days enrolment
    Get me ready!

  • £29.00

    Trigonometry + trigonometric equations

    1 Year enrolment
    Get me ready!

  • £39.00

    Trigonometry + trigonometric equations

    2 Year enrolment
    Get me ready!

This course is also available as part of a bundle...

Get ready for A-level maths

Save money by signing up for the full bundle 'Get Ready for A-Level maths', containing 5 courses just like this one on a range of topics that will help you master the final stages of GCSE or IGCSE maths and get ready to start AS or A-level!
Get me ready!

Master the hardest parts of GCSE and IGCSE and get ahead with A-level maths topics.

In this course you'll start by looking in depth at the sine and cosine rules for the area of a triangle. You'll think carefully about how to extent the definitions of sin cos and tan to angles of any size and to solve. You'll learn about some exact forms for these ratios and be confident in solving equations using sin cos and tan. This will including quadratics in these functions and problems where you have to apply trigonometric identities before solving the equation.

  • Suitable for students at the end of GCSE/IGCSE or the start of A-level (usually ages 15-17).

  • Learn by doing - as well as video introductions, each of the 5 chapters is organised around a contains an original downloadable worksheet.

  • Each worksheet has a range of easier and harder questions as well as some 'starred' questions to stretch the strongest students.

  • Every question in each worksheet has a fully explained video solution.

  • Free preview sections available after logging in (no payment details needed).

  • Available 24/7, go at your own pace. No ads, no distractions.

Course curriculum

Free preview includes teaching videos for all 25 modules.

    1. Welcome to the course!

      FREE PREVIEW

    1. Sine rule 1

      FREE PREVIEW

    2. Sine rule 2 - the ambiguous case

      FREE PREVIEW

    3. Cosine rule

      FREE PREVIEW

    4. Area of a triangle

      FREE PREVIEW

    5. Bearings

      FREE PREVIEW

    6. Worksheet D1: Sine and cosine rules and area of a triangle

      FREE PREVIEW

    7. Upgrade to the full course to continue learning!

      FREE PREVIEW

    8. Question 1 abc

    9. Question 1 def

    10. Question 2

    11. Question 3

    12. Question 4

    13. Question 5

    14. Question 6 hint

    15. Question 6

    16. Bouns: Proof of sine and cosine rules (Mathsaurus YouTube)

    1. Solving equations involving sin(x) for any angle

    2. Solving equations involving cos(x) for any angle

    3. Solving equations involving tan(x) for any angle

    4. Worksheet D2: Solving trig equations for any angles

    5. Question 1

    6. Question 2

    7. Question 3

    8. Question 4 hint

    9. Question 4

    10. Question 5 hint

    11. Question 5

    1. Exact values of sin cos and tan

    2. Exact values beyond 90 degrees

    3. Worksheet D3 - Exact trigonometric ratios

    4. Question 1

    5. Question 2

    6. Question 3

    7. Question 4 hint

    8. Question 4

    9. Question 5

    1. Harder trig equations part 1

    2. Harder trig equations part 2

    3. Worksheet D4 - Solving harder trig equations

    4. Question 1

    5. Question 2

    6. Question 3 hint

    7. Question 3

    8. Question 4 hint

    9. Question 4

    10. Question 5 hint

    11. Question 5

    1. tanx=sinx/cosx

    2. sin^2(x)+cos^2(x)=1

    3. Example using tanx=sinx/cosx

    4. Example using sin^2(x)+cos^2(x)=1

    5. Worksheet D5 - Using trig identities to solve equations

    6. Question 1

    7. Question 2

    8. Question 3 hint

    9. Question 3

    10. Question 4 hint

    11. Question 4

About this course

  • 59 lessons

Teacher

Kevin Olding

Kevin Olding is an experienced teacher and tutor, having worked for 7 years at two leading independent schools in London, and for over a decade as a private tutor. He holds a First Class MMATH Mathematics degree from Magdalen College, Oxford, an MSc in Applied Statistics from Birkbeck, University of London (Distinction and prize for best overall performace), MRes in Statistical Applied Mathematics (Distinction and soon PhD) from the University of Bath, as well as a degree in Law. He is also the creator of the Mathsaurus YouTube channel, which has tens of thousands of subscribers and millions of video views.

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