Math / TrigonometryQuestionWhat is the value of tan(2π3+x)\tan \left(\frac{2 \pi}{3}+x\right)tan(32π+x) if tanx=23\tan x=2 \sqrt{3}tanx=23 ? Step 3⇒(2sinxcosx)sinxcosx3 \Rightarrow(2 \sin x \cos x) \frac{\sin x}{\cos x}3⇒(2sinxcosx)cosxsinx Step 4⇒2sin2x4 \Rightarrow 2 \sin ^{2} x4⇒2sin2x (B) 37\frac{\sqrt{3}}{7}73 (C) 337\frac{3 \sqrt{3}}{7}733 (D) −337\frac{-3 \sqrt{3}}{7}7−33Studdy SolutionThe value of tan(2π3+x)\tan\left(\frac{2\pi}{3} + x\right)tan(32π+x) is 37\frac{\sqrt{3}}{7}73.View Full Solution - FreeWas this helpful?
