babyjay02 babyjay02
  • 21-03-2019
  • Mathematics
contestada

tan x/sec^2 x + tan x/csc^2 x​

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LammettHash
LammettHash LammettHash
  • 21-03-2019

I guess you're supposed to simplify?

[tex]\dfrac{\tan x}{\sec^2x}+\dfrac{\tan x}{\csc^2x}[/tex]

[tex]=\tan x\left(\dfrac1{\sec^2x}+\dfrac1{\csc^2x}\right)[/tex]

[tex]=\tan x(\cos^2x+\sin^2x)[/tex]

[tex]=\tan x[/tex]

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