Question

please prove it..trignometry

Answer 1

#LHS=sin^6x+cos^6x#

#=(sin^2x)^3+(cos^2x)^3#

#=(sin^2x+cos^2x)^3-3sin^2xcos^2x(sin^2x+cos^2x)#

#=(1)^3-3sin^2xcos^2x*(1)#

#=1-3sin^2xcos^2x=RHS#

Proved

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