Double angle formulae (HSC SSCE Mathematics Extension 1): Quizzes

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Double Angle Formulae
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What is the sine double angle formula?

sin 2θ = 2 sin θ cos θ

Which is a cosine double angle formula?

cos 2θ = 2 cos² θ - 1

What is the tangent double angle formula?

tan 2θ = 2 tan θ / (1 - tan² θ)

What does the double angle formulas help with?

Complex trigonometric expressions

How is sin 2θ derived?

Using angle addition

What is cos 2θ equal to?

cos² θ - sin² θ

What is the first step to solve cos 2x = 0.5?

Use the double angle formula

What is the value of sin 75°?

√6/4 + √2/4

What is the result of sin 2x = √3/2?

x = 30° or 60°

What is the identity for tan(2x)?

tan(2x) = 2tan(x)/(1-tan²(x))

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