Let the fantastic wealth of resources below teach you all about Trig Equations.

Covers the whole of the National 5 Maths course

Created by an experienced maths teacher

Resources used with students studying Maths in Scottish Secondary Schools

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A sound understanding of * Trig Equations *is essential to ensure exam success.

Passing N5 Maths significantly increases your career opportunities by helping you gain a place on a college course, apprenticeship or even landing a job. A ‘good’ pass at N5 Maths will set you up well for the fast paced Higher Maths Course next year should you be interested. Please do your very best to keep on top of your studies.

For students looking for extra help with the N5 Maths course in 2020/21 you may wish to consider subscribing to the fantastic additional exam focused resources available in the Online Study Pack.

We hope the resources on this website prove useful and wish you the very best of success with your N5 Maths course in 2020/21.

Thanks to the authors for sharing the excellent resources below.

Thanks to the authors for sharing the excellent resources below.

YouKenMaths Video ________________________________ | Larbert Maths Videos ____________________ | Mr Graham Maths Video _________________________ |

Solving Trig Equations - N5 & Higher | Trig Equations 1 | Solving Trig Equations |

Trig Equations 2 | ||

Trig Equations 3 |

A Trig Equations exam question where you are asked *“to solve the equation for 0 ≤ x ≤ 360°” *is shown below*:*

* 11cosx° – 2 = 3*

Source: N5 Maths, 2014, P2, Q12

Solving equations such as *sin x° = 1, sin x° = – 1* and *cos x° = 0* can be achieved just be reading the solutions from the trig graphs.

For example, in the graph of* y = sin x°* below, it can be seen that if we draw a horizontal line from 1 on the y-axis then it will meet the sin wave at 90°. Therefore the solution to* sin x° = 1* is *x = 90°.*

Solving Trig Equations such as *sin x° = 0.5* is more complicated**. **

In the graph of* y = sin x°* above, it can be seen that if we draw a horizontal line from 0.5 on the y-axis then it will meet the sin wave at two places.

A calculator is required for the first solution:

* x = inverse sin (0.5) = 30°*

and the correct use of the CAST diagram is required to find the second solution:

* x = 180° – 30° = 150°*

Thanks to the SQA for making these available. Questions & answers have been split up by topic for your ease of reference.

Clear, easy to follow, step-by-step worked solutions to all N5 Maths Questions below are available in the Online Study Pack.

The table below gives the links to our three dedicated websites and exam focused Study Packs for N5, Higher and AH Higher Maths.

Also included are additional courses where you will find a wealth of excellent resources to help with your studies.

Through step-by-step worked solutions to exam questions available in the Online Study Pack we cover everything you need to know about * Trig Equations *to pass your final exam.

For students looking for a ‘good’ pass at National 5 Maths in 2021 you may wish to consider subscribing to the fantastic additional * exam focused* resources available in the Online Study Pack.

Subscribing to the Online Study Pack may therefore be one of your best ever investments. Please click Online Study Pack to view screenshots, examples and instructions on how to subscribe.

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We hope the resources on this website prove useful and wish you the very best of success with your N5 Maths course in 2020/21.

to study Trig Equations

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Topic Links

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