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Question

tan1(14)+tan1(29) is equal to

A
12 cos1(35)
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B
12sin1(45)
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C
tan1(12)
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D
cos1(89)
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Solution

The correct option is D tan1(12)
tan1(14)+tan1(29)

=tan1⎜ ⎜ ⎜14+29114×29⎟ ⎟ ⎟

=tan1⎜ ⎜ ⎜14+2936236⎟ ⎟ ⎟
=tan1⎜ ⎜ ⎜9+8363436⎟ ⎟ ⎟

=tan1(12) or sin115 or cos125

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