The minimum value of 2sin2θ+3cos2θ ...
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The minimum value of ( 2 sin ^{2} theta+3 cos ^{2} theta ) is

NEET/Medical Exams
Physics
Solution
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The minimum value of 2sin2θ+3cos2θ is
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[
begin{array}{l}
quad 2 sin ^{2} theta+3 cos ^{2} theta
=2left(sin ^{2} theta+cos ^{2} thetaright)+cos ^{2} theta
=2+cos ^{2} theta
end{array}
]
Menimum value ( 4 cos ^{2} theta ) is 0
( therefore ) hirnimum value of ( 2+cos ^{2} theta )
[
begin{array}{l}
=2+0
=2
end{array}
]

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