What is the minimum value of #2sin^2theta+3cos^2theta#?

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Answer 1 · 2017-08-09T03:48:06

Let

#y=2sin^2theta+3cos^2theta#

#=>y=2sin^2theta+2cos^2theta+cos^2theta#

#=>y=2(sin^2theta+cos^2theta)+cos^2theta#

#=>y=2+cos^2theta#

So y will be minimum when #cos^2theta=0#

Hence #y_(min)=2#