if-sin2-1-3-find-3tg-2-3-4-

Question Number 149292 by mathdanisur last updated on 04/Aug/21

i f s i n 2 α = - \frac{1}{3}

f i n d 3 {t g}^{2} (\frac{3 π}{4} - α) = ?

Answered by Ar Brandon last updated on 04/Aug/21

\sin 2 α = - \frac{1}{3}

Θ = {3 \tan}^{2} (\frac{3 π}{4} - α)

= 3 {(\frac{\tan α + 1}{\tan α - 1})}^{2} = 3 {(\frac{\sin α + \cos α}{\sin α - \cos α})}^{2}

= 3 \frac{1 + \sin 2 α}{1 - \sin 2 α} = 3 (\frac{2}{3} \times \frac{3}{4}) = \frac{3}{2}

Commented by mathdanisur last updated on 04/Aug/21

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