sec 2x = 1/cos 2x
tan 2x = sin2x/cos2x
sec 2x+ 1 / tan 2x = (1/cos 2x + 1).1/ sin2x/cos2x
= (1/cos2x+1) . cos2x / sin2x
= (cos2x/cos2x + cos 2x)1/sin 2x
= (1+cos 2x) 1/sin 2x
sin 2x = 2.sinx.cosx , cos2x = 2cos²x - 1 atau 1-2sin²x
2cos²x / 2.sinx.cosx = cosx/sinx
lim x => π/2 (sec2x+1)/tan2x = lim x=> π/2 cosx/sinx <= 1/tanx = cotx
lim x=> π/2 cot x <= pakai turunan , turunan cot x adalah -csc x
= lim x=> π/2 -csc x <= csc x = 1/sin x
= lim x=> π/2 -1/sinx <= subtitusi x = π/2 , sin π/2 = 1
= -1 / 1 = -1
lim x => π/2 (sec2x+1)/tan2x = -1
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sec 2x = 1/cos 2x
tan 2x = sin2x/cos2x
sec 2x+ 1 / tan 2x = (1/cos 2x + 1).1/ sin2x/cos2x
= (1/cos2x+1) . cos2x / sin2x
= (cos2x/cos2x + cos 2x)1/sin 2x
= (1+cos 2x) 1/sin 2x
sin 2x = 2.sinx.cosx , cos2x = 2cos²x - 1 atau 1-2sin²x
2cos²x / 2.sinx.cosx = cosx/sinx
lim x => π/2 (sec2x+1)/tan2x = lim x=> π/2 cosx/sinx <= 1/tanx = cotx
lim x=> π/2 cot x <= pakai turunan , turunan cot x adalah -csc x
= lim x=> π/2 -csc x <= csc x = 1/sin x
= lim x=> π/2 -1/sinx <= subtitusi x = π/2 , sin π/2 = 1
= -1 / 1 = -1
lim x => π/2 (sec2x+1)/tan2x = -1