a Show that 18 is a root of the equation sin3 cos 2 b Express sin3 and cos 2 in terms of sin c Hence show that sin18 is a root of the equation 4x 3 2x 2 3x 1 0 d Hence find the exact value of sin18 ...

a To show that 18 is a root of the equation sin3 cos 2 we can substitute 18 or 10 in radians and che ...

a. Show that = 18 is a root of the equation sin3 = cos 2. b.

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a. Show that θ = 18° is a root of the equation sin3θ = cos 2θ.

b. Express sin3θ and cos 2θ in terms of sinθ.

c. Hence show that sin18° is a root of the equation 4x³ − 2x² − 3x + 1 = 0.

d. Hence find the exact value of sin18°.

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Cambridge International AS & A Level Mathematics Pure Mathematics 2 & 3 Coursebook

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Authors: Sue Pemberton, Julianne Hughes, Julian Gilbey

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a. Show that = 18 is a root of the equation sin3 = cos 2. b.

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Cambridge International AS & A Level Mathematics Pure Mathematics 2 & 3 Coursebook

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