If cos x + cos² x = 1, prove that sin² x + sin⁴x=1
Answers
Answer:
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Step-by-step explanation:
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As given in this question that cosx + cos²x=1 then use the identity
As given in this question that cosx + cos²x=1 then use the identitysin²x+cos²x=1
As given in this question that cosx + cos²x=1 then use the identitysin²x+cos²x=1and the equation become as
As given in this question that cosx + cos²x=1 then use the identitysin²x+cos²x=1and the equation become ascosx +1 -sin²x = 1.
As given in this question that cosx + cos²x=1 then use the identitysin²x+cos²x=1and the equation become ascosx +1 -sin²x = 1.cosx = sin²x
As given in this question that cosx + cos²x=1 then use the identitysin²x+cos²x=1and the equation become ascosx +1 -sin²x = 1.cosx = sin²xcos²x=sin⁴x
As given in this question that cosx + cos²x=1 then use the identitysin²x+cos²x=1and the equation become ascosx +1 -sin²x = 1.cosx = sin²xcos²x=sin⁴xand back to the given equation you are left with sin²x+sin⁴x=1.