Question

5. If \( 2 \cos ^{2} \theta-1=0 \), then find the value of \( 2 \sin ^{2} \theta+\sin ^{2} \theta \). (CUET 2023) (a) 0 (b) 3 (c) 1 (d) 2

Answer 1

bs0209, hello

Not sure where you got this question because no math instructor is going to ask for the value of 2sin²theta + sin²theta because that is just 3sin²theta.  Asking the other way is simply silly and not very mathematical.

In any case, the value turns out to be 3/2, which is not even one of your options, so apparently something else is going on...