Ask your own question, for FREE!
Trigonometry 14 Online
OpenStudy (andu1854):

(cos^3x - sin^3x)/(cosx - sinx) = 1 + sinx cosx; Verify the Identity. I am not sure how to get to the answer. Any help getting me started would be greatly appreciated.

OpenStudy (tkhunny):

You should recognize the form of the numerator. A difference of cubes. This can be factored.

OpenStudy (andu1854):

Can you factor out a sincos to then create sincos(sin^2 +cos^2

OpenStudy (anonymous):

\(a^3-b^3=(a-b)(a^2+ab+b^2)\)

OpenStudy (anonymous):

As tkhunny mentioned, you have something that looks like \[\frac{a^3-b^3}{a-b}\] Using the difference of cubes pattern, you can factor to get \[\frac{(a-b)(a^2+ab+b^2)}{(a-b)}\]

OpenStudy (andu1854):

Thank you very much... let me see what I do next, but that was very cool...

OpenStudy (andu1854):

Thank you for the help on this one... I got it...

Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!
Latest Questions
Graysonunderwoods: Have you even been beaten by a wet spaghetti noodle by your girlfriend because sh
25 minutes ago 48 Replies 1 Medal
AsianPanda08: What should i eat for dinner tonight? I can't choose
2 hours ago 51 Replies 2 Medals
Nina001: Trying 2 figure out what is the square root of 8746685
56 minutes ago 30 Replies 2 Medals
SnowyBreaks: Is it bad to lose 3.8 pounds in less than 2 days?
1 hour ago 43 Replies 0 Medals
kaelynw: tried a lil smt, the arm is off but i like the other stuff
41 minutes ago 15 Replies 2 Medals
laylasnii13: Who wanna write or make a song with me???
5 hours ago 8 Replies 0 Medals
kaelynw: art igg
14 hours ago 13 Replies 2 Medals
Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!