Master the hardest parts of GCSE and IGCSE and get ahead with Alevel 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 Alevel (usually ages 1517).

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).

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Reviews for Mathsaurus online courses
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!
Read LessNothing 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.
Read LessWish 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.
Read Less
£19.00
£19.00Trigonometry + trigonometric equations
1 Year enrolment 
£29.00
£29.00Trigonometry + trigonometric equations
2 Year enrolment 
£39.00
£39.00Trigonometry + trigonometric equations
Unlimited enrolment
This course is also available as part of a bundle...
Get ready for Alevel maths
Course curriculum
Free preview includes teaching videos for all 25 modules.

1
Welcome to the course

2
Sine and cosine rules and area of a triangle

Sine rule 1
FREE PREVIEW 
Sine rule 2  the ambiguous case
FREE PREVIEW 
Cosine rule
FREE PREVIEW 
Area of a triangle
FREE PREVIEW 
Bearings
FREE PREVIEW 
You're ready to try the next worksheet!
FREE PREVIEW 
Worksheet D1: Sine and cosine rules and area of a triangle
FREE PREVIEW 
Question 1 abc

Question 1 def

Question 2

Question 3

Question 4

Question 5

Question 6 hint

Question 6

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


3
Solving trig equations for any angles

Solving equations involving sin(x) for any angle
FREE PREVIEW 
Solving equations involving cos(x) for any angle
FREE PREVIEW 
Solving equations involving tan(x) for any angle
FREE PREVIEW 
You're ready to try the next worksheet!
FREE PREVIEW 
Worksheet D2: Solving trig equations for any angles

Question 1

Question 2

Question 3

Question 4 hint

Question 4

Question 5 hint

Question 5


4
Exact trigonometric ratios

Exact values of sin cos and tan
FREE PREVIEW 
Exact values beyond 90 degrees
FREE PREVIEW 
You're ready to try the next worksheet!
FREE PREVIEW 
Worksheet D3  Exact trigonometric ratios

Question 1

Question 2

Question 3

Question 4 hint

Question 4

Question 5


5
Solving harder trig equations

Harder trig equations part 1
FREE PREVIEW 
Harder trig equations part 2
FREE PREVIEW 
You're ready to try the next worksheet!
FREE PREVIEW 
Worksheet D4  Solving harder trig equations

Question 1

Question 2

Question 3 hint

Question 3

Question 4 hint

Question 4

Question 5 hint

Question 5


6
Using trig identities to solve equations

tanx=sinx/cosx
FREE PREVIEW 
sin^2(x)+cos^2(x)=1
FREE PREVIEW 
Example using tanx=sinx/cosx
FREE PREVIEW 
Example using sin^2(x)+cos^2(x)=1
FREE PREVIEW 
You're ready to try the next worksheet!
FREE PREVIEW 
Worksheet D5  Using trig identities to solve equations

Question 1

Question 2

Question 3 hint

Question 3

Question 4 hint

Question 4

Teacher
Kevin Olding