Simple trigonometric equations (HSC SSCE Mathematics Extension 1): Quizzes

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Simple Trigonometric Equations
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What is a trigonometric equation?

An equation with unknown angles

What is the principal value of sin θ = 1/2?

π/6

What is the general solution for sin θ = sin α?

θ = 2nπ + α

What is the range for principal values?

0 to 2π

What is the principal value of cos θ = 1/2?

π/3 and 5π/3

What is the general solution for tan θ = √3?

θ = nπ + π/3

Why are trigonometric equations important?

For signal processing

What should be considered when solving?

Defined domains

What is the periodic nature of sine?

Every 2π

What is the first step in solving sin θ = 1/2?

Identify the principal value

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