[tex] \frac{ cot^{2}x }{csc x+ 1} =1[/tex], 0 < x < 90. maka x = ...

cot²x + 1 = csc²x
cot²x = csc²x - 1

cot²x/(csc x  + 1) = 1
(csc²x - 1)/(csc x + 1) = 1
(csc x + 1) (csc x - 1) / (csc x + 1) = 1
csc x - 1 = 1
csc x = 1 + 1
csc x = 2
1/sin x = 2
sin x = 1/2
sin x = sin 30

maka x = 30°