Β 
VIEW IN FULL SCREEN

Edexcel A-level Maths Trigonometric equations

Trigonometric equations

This page covers the following topics:

1. Simple trigonometric equations
2. Moderate trigonometric equations
3. Complex trigonometric equations
4. Solving trigonometric equations graphically

We can solve trigonometric equations using the reference angles and trigonometric identities that have been learnt, as well as basic algebra.

Simple trigonometric equations

We can solve trigonometric equations using the reference angles and trigonometric identities that have been learnt, as well as basic algebra.

Moderate trigonometric equations

We can solve trigonometric equations using the reference angles and trigonometric identities that have been learnt, as well as basic algebra.

Complex trigonometric equations

We can use the sine, cosine and tangent graphs to solve trigonometric equations graphically.

Solving trigonometric equations graphically

1

Solve cosΒ²(x + 4ΒΊ) βˆ’ 1 = 0 for 0Β° < x < 360Β°.

Solve cosΒ²(x + 4ΒΊ) βˆ’ 1 = 0 for 0Β° < x < 360Β°.

2

Solve sin(x + 70ΒΊ) = 0.5 for 0Β° < x < 360Β°.

Solve sin(x + 70ΒΊ) = 0.5 for 0Β° < x < 360Β°.

3

Solve sinx = 0.5 graphically over the range 0 < x < 2Ο€.

Solve sinx = 0.5 graphically over the range 0 < x < 2Ο€.

4

Solve tan40Β° = 2sinx + 1 for 0ΒΊ < x < 360ΒΊ.

Solve tan40Β° = 2sinx + 1 for 0ΒΊ < x < 360ΒΊ.

5

By sketching a graph, we can find that for cos2x = βˆ’cosx, in the interval 0ΒΊ < x < 270ΒΊ, x = 60Β°, 180Β°. Sketch this graph showing the intersection points of the curves.

By sketching a graph, we can find that for cos2x = βˆ’cosx, in the interval 0ΒΊ < x < 270ΒΊ, x = 60Β°, 180Β°. Sketch this graph showing the intersection points of the curves.

End of page

Β