3 a. Write down the expansion of (cos 0 + i sin 0) in the form...
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3 a. Write down the expansion of (cos 0 + i sin 0)³ in the form a + ib, where a and b are in terms of sin 0 and cos 0. b. Hence show that cos 30 = 4cos ³0 - 3 cos 0. c. Similarly show that cos 50 16cos50-20cos ³0 + 5 cos 0. d. Hence solve the equation cos 50+ cos 30+ cos 0 = 0, where 0 € [− 1 , 4 ] · 2 = e. By considering the solutions of the equation cos 50 = 0, show that 5+√5 8 π cos TO = and state the value of cos 7π 10 3 a. Write down the expansion of (cos 0 + i sin 0)³ in the form a + ib, where a and b are in terms of sin 0 and cos 0. b. Hence show that cos 30 = 4cos ³0 - 3 cos 0. c. Similarly show that cos 50 16cos50-20cos ³0 + 5 cos 0. d. Hence solve the equation cos 50+ cos 30+ cos 0 = 0, where 0 € [− 1 , 4 ] · 2 = e. By considering the solutions of the equation cos 50 = 0, show that 5+√5 8 π cos TO = and state the value of cos 7π 10
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a To expand cos i sin we can use the binomial theorem The binomial theorem states that for any real numbers a and b and any positive integer n the expansion of a b can be written as a b Cn 0 a b Cn 1 ... View the full answer
Related Book For
Income Tax Fundamentals 2013
ISBN: 9781285586618
31st Edition
Authors: Gerald E. Whittenburg, Martha Altus Buller, Steven L Gill
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