How do you solve tan x sec x = 0?

2 Answers
mizoo
Mar 7, 2018

x = kpi, k any integer

Explanation:

tanx secx=0
sinx/cosx xx 1/cosx=0
sinx/cos^2 x = 0
sinx = 0
x = kpi, k any integer

Alan P.
Mar 7, 2018

x=kpi, kinZZ

Explanation:

If tan(x) * sec(x)=0
then
color(white)("XXX") {: (tan(x)=0," or ",sec(x)=0), (rarr x" is a multiple of "pi,,"not true for any real value of "x) :}

Here is a graph with color(green)(tan(x)) and color(red)(sec(x)) for verification:
enter image source here

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