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Mathematics 11 Online
OpenStudy (anonymous):

Help!!!

OpenStudy (anonymous):

I am typing the equation now.

OpenStudy (anonymous):

\[\frac{\sin x ^{3}+\cos x ^{3} }{ \sin x+\cos x }=1\]

OpenStudy (anonymous):

sorry. =1-sin x cos x

Directrix (directrix):

@Ammarilynne Do you remember how to factor the sum of two cubes?

OpenStudy (anonymous):

Yes, I tried that, but I still couldn't figure it out.

Directrix (directrix):

Please post how (sin³ x + cos³x) factors. That is the key to solving this.

OpenStudy (anonymous):

Ah ha! I did not see that the numerator and denominator canceled. Then sin^2+cos^2=1 and you have the answer! Thank You SOOOOOO much!

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