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Question

If tan1(14)+tan1=(29)=12cos1x, then x is equal to

A
12
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B
25
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C
35
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D
45
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Solution

The correct option is C 35
Given 12cos1x=tan1(14)+tan1(29)
cos1(x)=2tan1(14+29114.29)cos1x=2tan112
x=1tan2(tan1(12))1+tan2(tan1(12))=1141+14=35

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