展開する sin(x)cos(x)(cot(x)+sec(x))

解

展開する

sin (x) cos (x) (cot (x) + sec (x))

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

解答ステップ

sin (x) cos (x) (cot (x) + sec (x))

= cos (x) sin (x) (cot (x) + sec (x))

分配法則を適用する:

a (b + c) = ab + a c

cos (x) sin (x) (cot (x) + sec (x)) = cos (x) sin (x) cot (x) + cos (x) sin (x) sec (x)

= cos (x) sin (x) cot (x) + cos (x) sin (x) sec (x)

簡素化

cos (x) sin (x) cot (x) + cos (x) sin (x) sec (x) : sin (x) + cos (x) cot (x) sin (x)

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