=-sqrt (2)(sin dfrac (pi )(6)+icos dfrac (pi )(6))的指数表达式为（ ）。A =-sqrt (2)(sin dfrac (pi )(6)+icos dfrac (pi )(6))B =-sqrt (2)(sin dfrac (pi )(6)+icos dfrac (pi )(6))C =-sqrt (2)(sin dfrac (pi )(6)+icos dfrac (pi )(6))D =-sqrt (2)(sin dfrac (pi )(6)+icos dfrac (pi )(6))

dfrac (2pi )(sqrt {3)} D. dfrac (pi )(6)

dfrac (2pi )(sqrt {3)}-|||-D. dfrac (pi )(6)

sqrt (2)pi -|||-C. dfrac (sqrt {2pi )}(4)-|||-D. dfrac (sqrt {2pi )}(8)

dfrac ({mu )_(0)I}(pi R)(dfrac (1)(2)+dfrac (pi )(6))-|||-dfrac ({mu )_(0)I}(pi

[ 0,dfrac (pi )(2)] D. [ -sqrt (dfrac {pi )(2)},0]

+sin dfrac (npi )(2)+... （ ）A 、是收敛的 ; B 、是收敛的，其和为sin dfrac (pi )(2)+sin dfrac (2

(int )_(0)^dfrac (pi {2)}sqrt (1-sin 2x)dx;

[例2](1)(2020·全国卷Ⅲ)已知 sin theta +sin (theta +dfrac (pi )(3))=1,-|||-则 sin (theta

+sin dfrac (pi )({2)^n}+... ;

(9) (int )_(-dfrac {pi )(2)}^dfrac (pi {2)}|sin x|arctan (e)^xdx