How do you verify #sec(x)-cos(x)=sin(x)tan(x)#?

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Answer 1 · 2016-04-16T21:36:52

See below

LHS=left hand side, RHS=right hand side

LHS#=secx-cosx#

#=1/cosx -cosx#

#=(1-cos^2x)/cosx#

#=sin^2x/cosx#

#=sinx * sinx/cosx#

#=sinx tan x#

#=RHS#