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solve the equation tan^2x csc x=tan^2x

 Jun 13, 2016
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tan^2x csc x=tan^2x    rearrange as

 

tan^2x cscx  - tan^2x   = 0      factor

 

tan^2x (cscx - 1)  =  0         set each factor to 0

 

tan^2x  = 0     take the square root of both sdes 

 

tan x   = 0      and this occurs    at      n * pi     where n is an integer

 

Also.....

 

cscx  - 1  =  0        add 1 to both sides

 

cscx  = 1        and this occurs   at    pi/2  + (n) * 2pi       where n is an integer

 

 

 

cool cool cool

 Jun 13, 2016

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