HSC Together Year 12 Maths Extension 1: Further Trig: Solving t-formulae Questions

Further Trig: Solving t-formulae Questions

This post is part of the HSC Maths Extension 1 syllabus, under the topic Further Trig focusing on solving t-formulae questions. The t-formulae are the following:

if we let:

t = tan( \frac{x}{2})

Then we can express:

sin(x) = \frac{2t}{1+t^2}  cos(x) = \frac{1-t^2}{1+t^2} tan(x) = \frac{2t}{1-t^2}

 

Solving Questions Using the t-formulae

In this video, you will learn to use the t-formulae to solve trig equations.

 

More Examples of Solving Equations with t-formulae

Part 1:

 

Part 2:

 

Want to learn more? Check out more of our HSC Extension Maths resources here!

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