Buktikan 1-cos x/ sin x = 1 / csc x + cot x

Haloo Amira, kakak bantu jawab yaa Jawaban: terbukti (1-cos x)/sin x = 1/(csc x + cot x) Ingat: 1/ 1/a = 1 : 1/a = 1 . a/1 = a csc x = 1/sin x cot x = 1/tan x sin²x + cos²x = 1 ==> sin²x = 1-cos²x (a+b)(a-b) = a²-b² 1-cos x/ sin x = 1 / csc x + cot x (1-cos x)/sin x = 1 / (1/sin x + 1/tan x) (1-cos x)/sin x = 1 / (1/sin x + 1 / sin x/cos x) (1-cos x)/sin x = 1/(1/sin x + cos x/sin x) (1-cos x)/sin x = 1 / (1 + cos x)/sin x (1-cos x)/sin x = sinx/(1 + cos x) dikalikan sekawan (1-cos x)/sin x = sinx.(1-cos x) / (1 + cos x).(1-cos x) (1-cos x)/sin x = (1-cos x)sinx /(1-cos²x) (1-cos x)/sin x = (1-cos x).sinx /sin²x (1-cos x)/sin x = (1-cos x)/sin x Jadi terbukti (1-cos x)/sin x = 1/(csc x + cot x)