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Question

What is tan1(12)+tan1(13) equal to?

A
π2
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B
π3
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C
π4
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D
π6
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Solution

The correct option is D π4
We know the formula tan1a+tan1b=tan1(a+b1ab)
So tan1(12)+tan1(13)=tan1⎜ ⎜ ⎜ ⎜(12)+(13)1(12)(13)⎟ ⎟ ⎟ ⎟=tan1⎜ ⎜ ⎜ ⎜(56)(56)⎟ ⎟ ⎟ ⎟=tan1(1)=π4

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