Solving Trigonometric Equations – Using the ASTC rule, Related Angles and Trigonometric Identities

In this video, I will demonstrate how to solve trigonometric equations that are commonly examined under both the Advanced Maths (2U) and Extension 1 Maths (3U) course. Examples include:
- Solving single trigonometric ratio equations
- When to use trigonometric identities to simplify the expression first (reciprocal ratios, Pythagorean identity, compound angle, double angle rules etc.)
- When and how to adjust the domain before solving the equation
- Trigonometric equations that can be expressed as a quadratic
- Auxiliary angle conversions

The basics of solving a trigonometric equation will also be discussed in detail, such as the ASTC rule, assessing the quadrants of your solutions and working out the related angle.

As this is the first year implementation of the new Maths syllabus in NSW for 2020 HSC students, I have created this “Study with Me” series to help students prepare for the upcoming Year 11 Preliminary yearly exams. I will cover selected topics students tend to struggle with across the Advanced Mathematics (2U) course and the Extension 1 Mathematics course (3U).

This is relevant for both Year 11 and Year 12 students preparing for HSC Mathematics and HSC Maths Extension 1 for 2020 and onwards.

For extra practice questions, check out our website:

[seifeldin.]

Took this in class didn’t understand very much, this helped alot thanks!

[NaushadHarji]

The 3 laws of Newton, illustrated examples with worked out solutions. Concepts in Physics, like energy changes, sound energy, and many difficult topics in Physics and Mathematics.

[AhmedKhaled-hmxq]

Thank you so much <3 it helped me ALOT

[clarehyde]

at 11.11 the reference angle is drawn above and below the the 180' as they are in the negative cos quadrants but why is the 45' angle stemming off the 180 and not the 90 or 270 idk if that makes sense