We have below bronze, silver and gold tutorials for Trigonometric Relationships in the Relationships unit of National 5 Mathematics. Bronze tutorials are typically unit assessment standard with the silver tutorials providing typical "exam type" questions as examples. If you can manage these you should try our more advanced gold tutorials containing the more unpleasant "exam type" questions. Typically as you work through the modules, the difficulty of the skills increase by one step ensuring smooth progression. Simply click on the video to play it and pause it at the relevant points for you to attempt the questions. Each tutorial has a corresponding worksheet for you to download if additional practice is required. Make sure you have a pen and paper handy! Once you've mastered the skills, why not try the Pastpaper questions at the bottom of the page?

These are the skills that you should already have mastered with BEFORE you begin studying this National 5 module. If you are unsure, watch the videos and try some questions.

• Solving multi-step equations (MTH 315a)       Bronze       Silver       Gold

In this bronze module we look at solving basic, positive trig equations.

Video 144: Outcome 1 - Solving trig equations The only video in this module. After this, remember to think about your next steps!

In silver, we look at solving trig equations with a negative value. We also look at trig identities involving tan x.

VIDEO 145: Outcome 1 - Solving trig equations. Grab a pen and your Rigour jotter. Make sure you try all the questions! 

In our gold module we look at finding points of intersection between trig graphs and straight lines and move onto more complex trig identities involving cos2x + sin2x = 1.

Video 147: Outcome 1 - Points of intersection. Remember to copy down the worked examples and take notes. These will help you revise and remember!

Once you have mastered the skills, why not try the pastpaper questions? Click on each question to play the video. Pause it when prompted to do so and have a go yourself first. When you've finished check the solution. You should aim to complete these questions more than once at various stages throughout the year. If you feel that you need more practice at that particular question go to the practice area suggested in the video...good luck!

You have completed this module - well done! Remember to go back and redo any areas of weakness, that's how we improve. If you are happy with all areas, go back to the main menu and pick another topic to practice!