化简 (sec(x)+csc(x))(sin(x)+cos(x))-2

解答

化简

(sec (x) + csc (x)) (sin (x) + cos (x)) - 2

2 csc (2 x)

求解步骤

(sec (x) + csc (x)) (sin (x) + cos (x)) - 2

展开

(sec (x) + csc (x)) (sin (x) + cos (x)) : 2 csc (2 x) + 2

= 2 csc (2 x) + 2 - 2

数字相减:

2 - 2 = 0

= 2 csc (2 x)

s im pl i f y (1 - x - 2) (1 - x + 2)

e x p an d (x - y) l e f t (x + y)

e x p an d (1 + x + 2 x^{2})^{6}

s im pl i f y 3 (- \frac{y ^{3}}{3} - y + 4) (\frac{( - y ^{3} - 3 y + 12 ) ^{2}}{9} - 2)

e x p an d - x (2 x + y = 7)