## Find the values of λ and μ in the expression.

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3x4 + λx³ + 12x² + μx + 4 is (i) exactly divisible by (x-1) and (ii) leaves remainder 18 when divided by (x + 2).
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1 year 0 Answers 99 views

## Prove by induction that, for positive integral values of n,

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(cos θ + i sin θ)n = cos nθ + i sin nθ.
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1 year 0 Answers 31 views

## Prove that:

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cos5 θ = 1/16(cos 5θ – 5 cos 3θ + 10 cos θ)
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1 year 0 Answers 34 views

## Prove that:

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Sin5 θ = 1/16(sin 5θ - 5 sin 3θ + 10 sin θ)
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1 year 0 Answers 30 views

## Show that :

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tan 5θ = (5 tan θ - 10 tan³ θ + tan5 θ)/(1 - 10 tan² θ + 5 tan4 θ)
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1 year 0 Answers 30 views

## Show that:

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tan 4θ = (4t - 4t³)/(1 - 6t² + t4 ) where t = tan θ. Hence find the roots of the equation t4  + 4t³ - 6t² - 4t + 1 = 0,  correct to three significant figures.
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1 year 0 Answers 34 views

## Show that :

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tan 4θ = (4 tanθ - 4 tan³ θ)/(1 - 6 tan² θ + tan4 θ).
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1 year 0 Answers 36 views

## Prove that tan 3θ = (3 tanθ – tan³ θ)/(1 – 3 tan² θ)

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1 year 0 Answers 129 views