simplify sin^4X - cos^4X = 2sin^2-1

Question

need help solving this trognometirc identity

Mark M. · Accepted Answer

sin4x - cos4x = (sin2x - cos2x)(sin2x + cos2x)
 
                       = (sin2x - cos2x)(1)
 
                       = sin2x - (1 - sin2x)
 
                       = 2sin2x - 1

simplify sin^4X - cos^4X = 2sin^2-1

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simplify sin^4X - cos^4X = 2sin^2-1

1 Expert Answer

Still looking for help? Get the right answer, fast.

OR

RELATED TOPICS

RELATED QUESTIONS

Verify the identity cos^3xsin^2x = (sin^2x-sin^4x)cosx

Verify the identity tanx+coty/tanxcoty = tany+cotx

2sec^x-2sec^2x sin^2x

prove the following trigonometric identity

(cos^2x+1+sinx)/(cos^2x+3)=(1+sinx)/(2+sinx)

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