展開する (asin(t)cos(p)-dsin(p))^2

解

展開する

(a sin (t) cos (p) - d sin (p))^{2}

d^{2} sin^{2} (p) + a^{2} sin^{2} (t) cos^{2} (p) - a d sin (t) sin (2 p)

解答ステップ

(a sin (t) cos (p) - d sin (p))^{2}

完全平方式を適用する:

(a - b)^{2} = a^{2} - 2 ab + b^{2}

(a sin (t) cos (p) - d sin (p))^{2} = (a sin (t) cos (p))^{2} - 2 a sin (t) cos (p) d sin (p) + (d sin (p))^{2}

= (a sin (t) cos (p))^{2} - 2 a sin (t) cos (p) d sin (p) + (d sin (p))^{2}

簡素化

(a sin (t) cos (p))^{2} - 2 a sin (t) cos (p) d sin (p) + (d sin (p))^{2} : d^{2} sin^{2} (p) + a^{2} sin^{2} (t) cos^{2} (p) - a d sin (t) sin (2 p)

= d^{2} sin^{2} (p) + a^{2} sin^{2} (t) cos^{2} (p) - a d sin (t) sin (2 p)