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Question

(sinθ,cosθ) and (3,2) lies on the same side of the line x+y=1, then θ lies between

A
(0,π2)
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B
(0,π)
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C
(π4,π2)
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D
(0,π4)
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Solution

The correct option is D (0,π4)
As (sinθ,cosθ) and (3, 2) lie on the same side of x+y-1=0 , they should be of same sign.
sinθ+cosθ1>as 3+21>0
2sin(θ+π4)>1
sin(θ+π4)>120<θ<π4.

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