how do you get the answer 5π/6 by solving tan^-1(1/-√3) + 1π ? all the steps or any links that I can study them would be really great :)

Thanks

Question

how do  you get the answer 5π/6 by solving tan^-1(1/-√3) + 1π ? all the steps or any links that I can study them would be really great :) 

Thanks

welshfella · Answer

tan^-1(1/-√3) 
first find  the angle less than 90 dgrees ( in first quadran) that  has a tan of 1/sqrt3

there's a standard triangle which can be used

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welshfella · Answer

thats anggle x which is 30 degrees or pi/6 radians

welshfella · Answer

but we have  negative 1 / sqrt3 which will givw an angle in the second quadrant

welshfella · Answer

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