If x=sin1+cos1,y=√sin1+√cos1 and z=sin1−cos1, then which among the following relation between x,y,z is correct ?
A
x>y>z
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B
y>x>z
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C
z>x>y
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D
z>y>x
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Solution
The correct option is By>x>z We know that, 1radian≈57∘18′∈(0,π2) So, √sin1>sin1>0 and √cos1>cos1>0 As sinx and cosx are positive and proper fractions in x∈(0,π2)