SSC CGL 16 Aug 2015 Shift 1 Paper

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Question : 129 of 200

Marks: +1, -0

The minimum value of 2

sin^2

θ + 3

cos^2

θ is

3
4
2
1

Solution:

2

sin^2

θ + 3

cos^2

θ
= 2

sin^2

θ + 2

cos^2

θ +

cos^2

θ
= 2 (

sin^2

θ +

cos^2

θ ) +

cos^2

θ
= 2 +

cos^2

θ
∴ Minimum value = 2 + 0 = 2
because

cos^2θ

≥ 0

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