1+cos x/sin x + sinx/1+cosx= a. -2sinx b. -2secx c. 2escx d. 2secx e. cosx

lihat aturan nya a/b + b/a = a²/ab + b²/ab
(a² + b²)/ab
maka ;
(1 + cos x)/(sin x) + (sin x)/(1 + cos x)
= (1+cos x)²/(sin x)(1+cos x) + sin²x/(sin x)(1+cos x)
= {1 + 2.cos x + cos²x + sin²x} / (sin x)(1 + cos x)
= (1 + 2.cos x + 1) / (sin x)(1 + cos x)
= (2 + 2.cos x) / (sin x)(1 + cos x)
= 2(1 + cos x) / (sin x)(1 + cos x)
= 2 / sin x
= 2(1/sin x)
= 2.cosec x