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2 Answers
- Anonymous9 years agoFavorite Answer
k = (cos 2x)/(sin x - cos x)
lim x → ¼ π
misalkan x + y = ¼ π
k = (cos 2(¼ π - y))/(sin (¼ π - y) - cos (¼ π - y))
lim y → 0
k = (cos (½ π - 2y))/(√2 cos (¼ π - y - ¾ π))
lim y → 0
k = (sin 2y)/(√2 cos (½ π + y))
lim y → 0
k = -(sin 2y)/(√2 sin y)
lim y → 0
k = -(sin 2y)/(2y) * (y/sin y) * √2
lim y → 0
k = -1 * 1 * √2
k = -√2
- AdhelLv 79 years ago
aku anggap 45 itu 45 derajat bisa juga ditulis Ï/4
maka
lim xâÏ/4 (cos 2x )/(sin x - cos x)
lim xâÏ/4 (cos²x - sin²x)/(sin x - cos x) faktorkan
lim xâÏ/4 ((cos x+sin x)(cos x-sin x))/(sin x - cos x) corat coret
lim xâÏ/4 (cos x+sin x)/-1
(2/â2)/(-1) = -â2