tan^4 x + tan^2 x+ 1 = 1 - (Sin^2 x)(Cos^2 x)

Please someone help me solve this one so I can get some sleep tonight! I've been trying for 3 days off and on. Pretty please!

Carol

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- December 11th 2008, 12:52 PMCarolChangProve tan^4 + tan^2 + 1 = 1 - Sin^2 Cos^2
tan^4 x + tan^2 x+ 1 = 1 - (Sin^2 x)(Cos^2 x)

Please someone help me solve this one so I can get some sleep tonight! I've been trying for 3 days off and on. Pretty please!

Carol - December 11th 2008, 01:02 PMChop Suey
This identity is false. Are you sure you copied it correctly?

- December 11th 2008, 02:06 PMCarolChang
tan^4Ө + tan^2Ө + 1 = 1 + (sin^2Ө)(cos^2Ө)

Here it is, pasted directly from the homework. If it's false, I will be relieved. Is there a way to prove that it's false?

Carol - December 14th 2008, 08:58 PMScopur
Working on the left hand side...

... the entire left hand side can be manipulated using this..

Is the RHS = 1?