6. (cot x + tan x)/ (sec x) = csc x ruas kiri (cot x + tan x) / (sec x) = = (cos x / sin x + sin x /cos x)/ ( 1/cos x) = (cos² x + sin² x)/(sin x cos x) (cos x) = 1/(sin x cos x) . (cos x) = 1/sin x = csc x
7. ruas kiri cot a - tan a = = cos a/sin a - sin a/ cos a = (cos² a - sin²a)/(sin a cos a) = (cos² a - (1 - cos² a)) / ( sin a cos a) = (cos² a -1 + cos² a) / (sin a cos a) = (2 cos² a -1)/ (sin a cos a)
8. ruas kri (sin² x - 2 sin x + 1)/(sin x-1) = = (sin x -1)² /(sin x -1) = sin x - 1
Verified answer
Identitas6. (cot x + tan x)/ (sec x) = csc x
ruas kiri
(cot x + tan x) / (sec x) =
= (cos x / sin x + sin x /cos x)/ ( 1/cos x)
= (cos² x + sin² x)/(sin x cos x) (cos x)
= 1/(sin x cos x) . (cos x)
= 1/sin x
= csc x
7.
ruas kiri
cot a - tan a =
= cos a/sin a - sin a/ cos a
= (cos² a - sin²a)/(sin a cos a)
= (cos² a - (1 - cos² a)) / ( sin a cos a)
= (cos² a -1 + cos² a) / (sin a cos a)
= (2 cos² a -1)/ (sin a cos a)
8.
ruas kri
(sin² x - 2 sin x + 1)/(sin x-1) =
= (sin x -1)² /(sin x -1)
= sin x - 1
Verified answer
Kelas : XIPelajaran : Matematika
Kategori : Pembuktian Identitas Trigonometri
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