展开 tan(x)(1-sin(2x))sec(x)

解答

展开

tan (x) (1 - sin (2 x)) sec (x)

sec (x) tan (x) - sec (x) sin (2 x) tan (x)

求解步骤

tan (x) (1 - sin (2 x)) sec (x)

= sec (x) tan (x) (1 - sin (2 x))

使用分配律:

a (b - c) = ab - a c

sec (x) tan (x) (1 - sin (2 x)) = sec (x) tan (x) \cdot 1 - sec (x) tan (x) sin (2 x)

= sec (x) tan (x) \cdot 1 - sec (x) tan (x) sin (2 x)

化简

sec (x) tan (x) \cdot 1 - sec (x) tan (x) sin (2 x) : sec (x) tan (x) - sec (x) sin (2 x) tan (x)

= sec (x) tan (x) - sec (x) sin (2 x) tan (x)

e x p an d \frac{3 x}{sin ( x ) ( x - 3 )}

e x p an d \frac{1}{4 ( 8 x + 12 )}

s im pl i f y 2 (\frac{y}{3} + 1)

e x p an d (x - 10) (x + 5)

s im pl i f y \frac{( - 3 + x ) ^{2}}{6 x - 54}