31.1k views
0 votes
(sec x + tan x)((1-sin x/cos x)=1 Please show calculations why you did those calculations. I need help!!!

(sec x + tan x)((1-sin x/cos x)=1 Please show calculations why you did those calculations-example-1
User Roryrjb
by
6.1k points

1 Answer

3 votes

Explanation:


( \sec(x) + \tan(x) )( (1 - \sin(x) )/( \cos(x) ) )


( (1)/( \cos(x) ) + ( \sin(x) )/( \cos(x) ) )( (1 - \sin(x) )/( \cos(x) ) )


( (1 + \sin(x) )/( \cos(x) ) )( (1 - \sin(x) )/( \cos(x) ) )


\frac{1 - \sin {}^(2) (x) }{ \cos {}^(2) (x) }


\frac{ \cos {}^(2) (x) }{ \cos {}^(2) (x) }


= 1

User Gmolau
by
7.2k points