Grade 12th passTrigonometry
2tan-1(3/4)=??
2tan-1(3/4)=??
1 Answer
Vikas TU
Write 2tan-1(3/4) = tan-1(3/4) + tan-1(3/4) = k let
From formulae: tan-1(x + y) = tan-1(x) + tan-1(x)/(1 – tan-1(x)*tan-1(x))
Now put x = 3/4
k = tan-1(x + y)*(1 – tan-1(x)*tan-1(x)) = tan-1(3/4 + 3/4)*(1 – tan-1(3/4)*tan-1(3/4)
From formulae: tan-1(x + y) = tan-1(x) + tan-1(x)/(1 – tan-1(x)*tan-1(x))
Now put x = 3/4
k = tan-1(x + y)*(1 – tan-1(x)*tan-1(x)) = tan-1(3/4 + 3/4)*(1 – tan-1(3/4)*tan-1(3/4)
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