a. Show that = 18 is a root of the equation sin3 = cos 2. b.
Question:
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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a To show that 18 is a root of the equation sin3 cos 2 we can substitute 18 or 10 in radians and che...View the full answer
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Related Book For
Cambridge International AS & A Level Mathematics Pure Mathematics 2 & 3 Coursebook
ISBN: 9781108407199
1st Edition
Authors: Sue Pemberton, Julianne Hughes, Julian Gilbey
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