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Trigonometry
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Solve sqrt3 tanx - 1 = 0
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\[\sqrt{3}\tan x -1=0\] We are trying to isolate x so our first optiion would be to move the one over \[\sqrt{3}\tan x =1\] Then we would divide both sides by square root 3 \[\tan x = \frac{1}{\sqrt{3}}\] Inverse both sides ... \[\ x =\tan ^{-1} (\frac{1}{\sqrt{3}})\]
\[\huge \sqrt 3 \tan x-1 =0 \rightarrow \sqrt 3 \tan x =1\] \[\huge \rightarrow \tan x =\frac{1}{\sqrt 3}\] \[\huge \rightarrow \tan x =\tan 30^0 \rightarrow x= 30^0\] \[\Huge \tan 30^0 = \frac{1}{\sqrt 3}\]
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