Question

Tolong,... yang bisa dijawab yaa..
buktikan bahwa tan x + cot x = sec x . csc x

Answer 1

tan x + cot x = sec x . csc x
tan x + 1/tanx = sec x . csc x
(tan^2 x + 1) / tan x = sec x. csc x
sec^2 x / tan x = sec x . csc x
(1/ cos^2 x) . (cos x /sin x) = sec x. csc x
(1/cos x).(1/sin x) = sec x. csc x
sec x. csc x = sec x. csc x
( TERBUKTI )