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Question

If A=60o and B=30o, then prove that tan(AB)=tanAtanB1+tanAtanB

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Solution

If A=60 and B=30, then
AB=30
tan(AB)=tan30=13
Now,
tanAtanB1+tanAtanB=tan60tan301+tan60tan30
=3131+3×13
=3131+1
=1/3
tan(AB)=tanAtanB1+tanAtanB
Verified.

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