SOLUTION: Prove the above identify : sin⁴x+sin�xcos�x /1+cosx =1-cosx

SOLUTION: Prove the above identify : sin⁴x+sin�xcos�x /1+cosx =1-cosx

Algebra.Com

Question 952491: Prove the above identify : sin⁴x+sin�xcos�x /1+cosx =1-cosx
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Prove the above identity :
sin⁴x+sin�xcos�x /1+cosx =1-cosx
--------
sin^2[sin^2+cos^2] = (1+cos)(1-cos)
---------
sin^2(1) = 1 - cos^2
---
sin^2(x) = sin^2(x)
------------------
Cheers,
Stan H.
RELATED QUESTIONS
Show that (a) (tanx - cosx)/sinxcosx = sec�x - cosec�x (b) sin⁴x +... (answered by MathLover1,ikleyn)

Show that (a) (tanx - cosx)/sinxcosx = sec�x - cosec�x (b) sin⁴x +... (answered by Alan3354,ikleyn)

Prove the identity:... (answered by lwsshak3)

verify the identity cosx/1+sinx + cosx/1-sin... (answered by Alan3354)

Cosx/1-sinx - sinx/cosx = 1/cosx Prove the... (answered by Alan3354)

Prove the identity: Cosx/1-sinx - sinx/cosx = 1/cosx (answered by Alan3354)

(2sinxcosx + cosx - 2sinx - 1)/(-sin(squared)x) = (2 sinx + 1)/(cosx+1) Please prove one (answered by kev82)

verify idenity csc x = (sin x)/2(1 + cosx) + (sin x)/2(1-cosx) (answered by katealdridge)

How do I prove this identity? 1/1+cosx +1/1-cosx=... (answered by math_helper)