How do you simplify the expression $(tanx+cotx)/cotx$ ?

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Answer 1 · 2016-09-22T13:32:44

$=(sinx/cosx + cosx/sinx)/(cosx/sinx)$

$= (sin^2x/(cosxsinx) + cos^2x/(cosxsinx))/(cosx/sinx)$

$=((sin^2x + cos^2x)/(cosxsinx))/(cosx/sinx)$

$=(1/(cosxsinx))/(cosx/sinx)$

$=1/(cosxsinx) xx sinx/cosx$

$=1/cos^2x$

$=sec^2x$

Hopefully this helps!

How do you simplify the expression (tanx+cotx)/cotx(tanx+cotx)/cotx?