化简 cos(x)(csc(x)-sec(x))+1

解答

化简

cos (x) (csc (x) - sec (x)) + 1

cot (x)

求解步骤

cos (x) (csc (x) - sec (x)) + 1

展开

cos (x) (csc (x) - sec (x)) : cos (x) csc (x) - cos (x) sec (x)

= cos (x) csc (x) - cos (x) sec (x) + 1

csc (x) cos (x) = cot (x)

= cot (x) - cos (x) sec (x) + 1

sec (x) cos (x) = 1

= cot (x) + 1 - 1

数字相减:

1 - 1 = 0

= cot (x)

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

e x p an d 5 (3 - 7)

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

s im pl i f y (- 1 + 3 i)^{8}

e x p an d x (3 x y - k y^{3} + 6) d x + (x^{3} - 6 x^{2} y^{2} - 1) d y