If x=sin−1(sin10) and y=cos−1(cos10), then y - x is equal to
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a
0
b
10
c
7π
d
π
answer is D.
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Detailed Solution
The graph of y = sin-1 (sin x) is∴x=sin−1(sin10)=−10+3π ....(i)and the graph of y = cos-1(cos x) is ∴y=cos−1(cos10)=−10+4π ...(ii)Now, from Eqs. (i) and (ii),y−x=(−10+4π)−(−10+3π)=π