Solve the equationsec x - sec x sin^{2}x = cos x

arenceabigns 2020-11-07 Answered

Solve the equation secxsecx sin2x=cosx

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Expert Answer

Talisha
Answered 2020-11-08 Author has 93 answers
Work with a left side.
Factor out secx:
secxsecxsin2x=secx(1sin2x)
Use the Pythagorean identity: sin2x+cos2x=1
secxsecxsin2x=secx(cos2x)
Use the reciprocal identity: secx=1/cosx
secxsecxsin2x=1/cosx(cos2x)
secxsecxsin2x=cosx
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