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tan75o = sqrt(3) + 1 / sqrt(3) - 1
cot 75 = sqrt(3) - 1 / sqrt(3) + 1
on adding both of these we get
tan75 + cot75 = (sqrt(3) + 1)^2+(sqrt(3) - 1)^2 / (sqrt(3) - 1)(sqrt(3) + 1)
on solving you get answer 4
Please approve it if you like
tan75°=tan(30°+45°)
=(tan30°+tan45°)/(1-tan30°tan45°)
={(1/√3)+1}/{1-(1/√3)(1)}
=(√3+1)/(√3-1)
So,cot75°=1/tan75°
=(√3-1)/(√3+1)
Then,tan75°+cot75°={(√3+1)2+(√3-1)2}/{(√3)2-(1)2}
=(3+1+2√3+3+1-2√3)/(3-1)
=4.
PLZZZZZZZZZZZZZZZZZ APPROVE THE METHOD IF IT HELPED YOU BY CLICKING THE YES BUTTON........................................
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