簡約 cos(x)(csc(x)-sec(x))-cot(x)

解

簡約

cos (x) (csc (x) - sec (x)) - cot (x)

- 1

解答ステップ

cos (x) (csc (x) - sec (x)) - cot (x)

拡張

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

= cos (x) csc (x) - cos (x) sec (x) - cot (x)

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

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

類似した元を足す:

cot (x) - cot (x) = 0

= - cos (x) sec (x)

サイン, コサインで表わす

= - 1