簡約 (sin(t-pi/6))^2

解

簡約

(sin (t - \frac{π}{6}))^{2}

\frac{3}{4} sin^{2} (t) - \frac{3}{2} sin (t) cos (t) + \frac{1}{4} cos^{2} (t)

解答ステップ

sin^{2} (t - \frac{π}{6})

三角関数の公式を使用して書き換える

= (\frac{3}{2} sin (t) - \frac{1}{2} cos (t))^{2}

簡素化

(\frac{3}{2} sin (t) - \frac{1}{2} cos (t))^{2} : \frac{3}{4} sin^{2} (t) - \frac{3}{2} sin (t) cos (t) + \frac{1}{4} cos^{2} (t)

= \frac{3}{4} sin^{2} (t) - \frac{3}{2} sin (t) cos (t) + \frac{1}{4} cos^{2} (t)