find all solutions of sec x =2.5

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Guest May 8, 2014

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Best Answer

There are an infinite number of solutions to this as you can probably infer from the graph below:

sec

However, if you mean within the range 0 to 360° then use the calculator in the form x = asec(2.5) to find the first one:

${\mathtt{x}} = {asec}{\left({\mathtt{2.5}}\right)} \Rightarrow {\mathtt{x}} = {\mathtt{66.421\: \!821\: \!521\: \!798^{\circ}}}$

If you look carefully at the graph above you will see that the next one is obtained by subtracting this from 360°

Alan May 8, 2014

Alan · Answer 1 · 2014-05-08T07:59:08

There are an infinite number of solutions to this as you can probably infer from the graph below:

sec

However, if you mean within the range 0 to 360° then use the calculator in the form x = asec(2.5) to find the first one:

${\mathtt{x}} = {asec}{\left({\mathtt{2.5}}\right)} \Rightarrow {\mathtt{x}} = {\mathtt{66.421\: \!821\: \!521\: \!798^{\circ}}}$

If you look carefully at the graph above you will see that the next one is obtained by subtracting this from 360°