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How Can You Factor the Trigonometric Expression sin^3(x)-cos^3(x)?

Thread starter xCycLoNeX
Start date Jul 12, 2010
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identities Trig Trig identities

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3 replies · 2K views

xCycLoNeX

Thread starter
Jul 12, 2010

#1

Homework Statement

sin^3(x)-cos^3(x)
sin(x) - cos(x)

equals

1 + sin(x) + cos(x)

Homework Equations

Not sure :/

The Attempt at a Solution

Not sure where to even start.

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bp_psy

Jul 12, 2010

#2

Are you sure that it's 1+sin(x)+cos(x) and not 1+sin(x)cos(x)?

Use the identity sin^2(x)+cos^2(x)=1.

xCycLoNeX

Jul 12, 2010

#3

Oh yeah, that was it.

Anakin_k

Jul 12, 2010

#4

sin^3(x)-cos^3(x)
-----------------
sin(x) - cos(x)

Try factoring the numerator, it may help you.

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