Overview of trigonometric equations (HSC SSCE Mathematics Extension 1): Quizzes
📚Quizzes
Practise the questions
10 questions from this quiz
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Practise the questions
10 questions from this quiz
What is a trigonometric equation?
What is a trigonometric equation?
An equation with trigonometric functions
What does the general solution provide?
What does the general solution provide?
All possible solutions to an equation
What is an auxiliary angle?
What is an auxiliary angle?
A simpler angle for solving equations
What is the period of sine and cosine?
What is the period of sine and cosine?
2π
What is the general solution for sin θ = 1/2?
What is the general solution for sin θ = 1/2?
θ = π/6 + 2kπ
How do you solve sin θ = sin α?
How do you solve sin θ = sin α?
Use reflections and periodic shifts
What does tan θ = √3 represent?
What does tan θ = √3 represent?
Angles on the unit circle
What is the role of the unit circle?
What is the role of the unit circle?
Visualize angles and solutions
What is the general solution for cos θ = √3/2?
What is the general solution for cos θ = √3/2?
θ = ±π/6 + 2kπ
What are applications of trigonometric equations?
What are applications of trigonometric equations?
Physics and engineering