展開する sqrt((a(1-cos(t))^2+(asin(t))2))

解

展開する

(a (1 - cos (t))^{2} + (a sin (t)) 2)

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

解答ステップ

a (1 - cos (t))^{2} + (a sin (t)) \cdot 2

括弧を削除する:

(a) = a

= a (1 - cos (t))^{2} + a sin (t) \cdot 2

(1 - cos (t))^{2} = 1 - 2 cos (t) + cos^{2} (t)

= a (cos^{2} (t) - 2 cos (t) + 1) + 2 a sin (t)

拡張

a (1 - 2 cos (t) + cos^{2} (t)) + a sin (t) \cdot 2 : a - 2 a cos (t) + a cos^{2} (t) + a sin (t) \cdot 2

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