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oksano4ka [1.4K]
3 years ago
11

How do you simplify cscx*secx-tanx?

Mathematics
1 answer:
kenny6666 [7]3 years ago
5 0
Csc x · sec x - tan x = 
= 1 / sin x · 1 / cos x - sin x / cos x = 
= 1 / sinx cos x - sin² x / sin x cos x = 
= ( 1 - sin² x ) / (sin x cos x) =
=  cos² x / ( sin x cos x ) = 
= cos x / sin x = cot x 
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