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

解答

化简

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

2 csc (2 x) - cot (x)

求解步骤

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

展开

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

= 2 csc (2 x) + 2 - 2 - cot (x)

数字相减:

2 - 2 = 0

= 2 csc (2 x) - cot (x)

e x p an d sin (y) (x + sin (y)) d x + 2 x^{2} cos (y) d y

e x p an d (2 + 3) (5 + 2)

e x p an d cos (x) (sec (x) + csc (x))

e x p an d \frac{4}{x ^{3} ( x ^{2} + 3 )}

s im pl i f y \frac{1}{( z - i ) ^{2}}