Half-angle formulae (HSC SSCE Mathematics Extension 1): Quizzes

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Half-angle Formulae
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What do half-angle formulae simplify?

Trigonometric equations

What is the formula for sin A?

2 sin A/2 cos A/2

What does t represent in substitution?

tan A/2

How is cos A expressed using t?

1 - t^2 / 1 + t^2

What is sin 30 degrees?

1/2

What is the purpose of half-angle identities?

Simplify integrals

What is the result of 2 cos^2 θ - 1 = 0?

θ = 60

What does the half-angle formula for tan A yield?

t = 2t / 1 - t^2

What is the half-angle formula for cos A?

cos^2 A/2 - sin^2 A/2

What is the value of tan 30 degrees?

1/√3

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