Prove that Sin(π/4+x)sin(π/4-x)=1/2cos2x
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Step-by-step explanation:
Sin(π/4+x)sin(π/4-x)
=1/2(2Sin(π/4+x)sin(π/4-x))
=1/2*[cos(π/4-x-π/4-x)/2+cos(π/4-x+π/4+x)
=1/2[cos(-2x)+cos(π/4+π/4)]
=1/2(cos2x+0]
=1/2(cos2x
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Step-by-step explanation:
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