1) sinx. cotx = cos x
Sin x. Cosx/sinx = cosx
Cos x = cos x (terbukti)
2)cot x.cos x+ sin x= cosec x
Cosx/sinx .Cos x+ sin x = cosec x
Cos²x/sinx +sinx = cosec x
Cos²x/sinx + sin²x/sin x= cosec x
(Cos²x+sin²x)/ sinx = cosec x
1/ sinx. =. 1/sinx
Terbukti
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1) sinx. cotx = cos x
Sin x. Cosx/sinx = cosx
Cos x = cos x (terbukti)
2)cot x.cos x+ sin x= cosec x
Cosx/sinx .Cos x+ sin x = cosec x
Cos²x/sinx +sinx = cosec x
Cos²x/sinx + sin²x/sin x= cosec x
(Cos²x+sin²x)/ sinx = cosec x
1/ sinx. =. 1/sinx
Terbukti
2).
Terbukti :)