3 years ago

write the following numbers in increasing order Negative 1/2 Negative 3 forts negative 2 Negative 5 forths

Mathematics

1 answer:

alukav5142 [94]3 years ago

7 0

-2 < -5/4 < -3/4 < -1/2

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$\sin ^{3} x+\cos ^{3} x=(\sin x+\cos x)(1-\sin x \cos x)$

$RHS=(\sin x+\cos x)(1-\sin x \cos x)$

We know that $\sin^2x +\cos^2x=1$ , substitute this in place of 1.

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

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$=\sin^3x + \sin x \cos^2x-\sin^2 x \cos x+\cos x \sin^2 x + \cos^3 x-\sin x\cos^2 x$

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$=\sin^3x +( \sin x \cos^2x-\sin x\cos^2 x)+(\cos x \sin^2 x-\sin^2 x \cos x) + \cos^3 x$

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$=\sin^3x + \cos^3 x$

= LHS

RHS = LHS

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Hence proved.

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