展开 (1+sin(x))*cos(x)

解答

展开

(1 + sin (x)) \cdot cos (x)

cos (x) + cos (x) sin (x)

求解步骤

(1 + sin (x)) cos (x)

= cos (x) (1 + sin (x))

使用分配律:

a (b + c) = ab + a c

cos (x) (1 + sin (x)) = cos (x) \cdot 1 + cos (x) sin (x)

= cos (x) \cdot 1 + cos (x) sin (x)

使用法则:

a \cdot 1 = a

cos (x) \cdot 1 = cos (x)

= cos (x) + cos (x) sin (x)

s im pl i f y (- 1 - 3 i)^{7}

e x p an d (2 x^{2} - \frac{1}{x})^{12}

s im pl i f y (sin (x) - sin (y))^{2} + (cos (x) - cos (y))^{2}

e x p an d \frac{2 ( 9 x ^{2} - 24 x - 16 )}{3 x - 4}

e x p an d \frac{n ( n + 1 ) ( 2 n + 1 )}{6} + 3 (\frac{n ( n + 1 )}{2})