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Question

Angle between the curves y=sinx,y=cosx is -

A
π4
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B
tan12
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C
tan122
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D
None of these
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Solution

The correct option is C tan122
y=sinx y=cosx
m1=cosx m2=sinx
y=sinx;y=cosx
sinx=cosx
tanx=1
x=π4;y=12
The point of intersection (π4,12)
m1=12,m2=12
tanθ=⎜ ⎜ ⎜ ⎜12+12112⎟ ⎟ ⎟ ⎟
θ=tan1(22×21)
θ=tan1(22)
Hence, option 'C' is correct.

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