Question #27270

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Answer 1 · 2016-10-21T10:33:26

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#sin ^2 x + cos^4 x = cos^2 x + sin^4 x#

Left Side: #sin^2 x + cos^4 x#

#=sin^2 x + cos ^2 x cos ^2 x#

#=sin^2 x + (1-sin^2 x) (1- sin^2 x)#

#=sin ^2 x + 1-2sin^2x+sin^4 x#

#=1-sin^2x + sin^4 x#

#=cos^2 x + sin ^4 x#

#=# Right Side