Question

Nilai dari cosecx/cot x+tanx

Answer 1

Verified answer

Identitas trigonometri:
1). tanx = sinx/cosx
2). cotx = cosx/sinx
3). cosecx = 1/sinx
4). cosx² + sinx² = 1

==Jawaban==
cosecx/(cotx + tanx)
= (1/sinx)/(cosx/sinx + sinx/cosx)
= (1/sinx)/((cosx² + sinx²)/(sinx.cosx))
= (1/sinx).(sinx.cosx)/(cosx² + sinx²)
= (1/sinx).(sinx.cosx)/1
= (sinx.cosx)/(sinx)
= cosx