Solving equations using angle formulae (HSC SSCE Mathematics Extension 1): Quizzes

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Solving Equations Using Angle Formulae
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What is the sine angle sum identity?

sin(A + B) = sin A cos B + cos A sin B

What does cos(2A) equal?

cos^2 A - sin^2 A

What is the half-angle formula for sine?

sin(A/2) = sqrt((1 - cos A)/2)

What is the correct cosine angle difference identity?

cos(A - B) = cos A cos B - sin A sin B

What is tan(A + B) equal to?

(tan A + tan B)/(1 - tan A tan B)

What is the first step in solving trigonometric equations?

Identify the equation type

What is sin(2A) equal to?

2 sin A cos A

What is the purpose of angle identities?

To simplify trigonometric expressions

What is cos(A/2) equal to?

sqrt((1 + cos A)/2)

What should you avoid in trigonometric equations?

Mismatching identity applications

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