3 years ago

Amy invests $75 a month in an annuity that earns 3% APR and is

Mathematics

1 answer:

Masteriza [31]3 years ago

8 0

Answer: $4,848.51

Step-by-step explanation:

A P E X

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Step-by-step explanation:

Given

$(sin x - cos x)^2 = sec^2x - tan^2x - 2sinx.cos x.$

Required

Prove

To start with; we open the bracket on the left hand side

$(sin x - cos x)^2 = (sin x - cos x)(sin x - cos x)$

$(sin x - cos x)^2 = (sin x )(sin x - cos x)- (cos x)(sin x - cos x)$

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Reorder

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From trigonometry;

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So;

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Also from trigonometry;

$sec^2x - tan^2x = 1$

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$(sin x - cos x)^2 = 1 - 2sinx cos x$

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$(sin x - cos x)^2 = sec^2x - tan^2x - 2sinx cos x$

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