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Question

If 1 degree =0.017 radians, then the approximate value of sin46 degrees is

A
0.7194
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B
0.0172
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C
1.0172
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D
none of these
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Solution

The correct option is A 1.0172
sin460=sin(450+10)
Let y=f(x)=sinx
y+Δy=sin(x+Δx)
Δy=sin(x+Δx)sinx
Also, Δy=f(x)Δx
sin(x+Δx)sinx=cosxΔx
Put x=450,Δx=10
sin460sin450=cos450(10)
sin460=1.0172

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