Buktikian bahwa: (csc x / cos x) - cot x = tan x

(cosecx / cosx) - cotanx
= ( (1/sinx) / cosx) - cosx / sinx
= (1/sinx kali 1/cosx) - cosx/sinx
= (1/sinxcosx) - cosx/sinx
= 1- cos²x /sinxcosx
= sin²x / sinxcosx
= sinx/cosx
= tanx
(terbukti)

Bab Trigonometri
Matematika SMA Kelas X

(cosec x / cos x) - cot x
= (cosec x / cos x) - (cos x / sin x)
= ((sin x . cosec x) - (cos x . cos x))/(cos x . sin x)
= (1 - cos² x)/(sin x . cos x)
= (sin² x)/(sin x . cos x)
= (sin x) / (cos x)
= tan x

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