Question #daef4

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Answer 1 · 2018-01-12T04:12:06

#sin^2(x)#

Assuming your problem was #tan^2(x)(1-sin^2(x))#,

Remember that

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

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

So,

#tan^2(x)(1-sin^2(x))=tan^2(x)cos^2(x)#

Remember that #tan(x)=sin(x)/cos(x)#, so #sin(x)=tan(x)cos(x)#

#:. tan^2(x)cos^2(x)=sin^2(x)#