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Question

Solution set of the equation cos{sin113+cos1x}=0 has

A
Infinitely many real numbers
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B
Only one real number
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C
Only three real numbers
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D
None of these
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Solution

The correct option is B Only one real number
cos{sin113+cos1x}=0
sin113+cos1x=(2n1)π2,n ϵ Z
sin1x=(2n+1)π2sin113
sin1x=(2n+1)π2sin113
0(2n+1)π2sin113π,n ϵ Z
n=0 cos1x=π2sin113=cos113
x=13
Solution set has only one real number.

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