Question

Find approximate solution for the equation in the interval 0 x < . Round to three decimal places.
tanx=5sinx

Answer 1

\[Tanx=5sinx\]
When you solve a trigonometric equation, the main goal is to express everything in a single trigonometric function that is simple, in this case sinx or cosx:
\[\frac{ sinx }{ cosx }=5sinx\]
or:
\[\frac{ 1 }{ cosx }=5\]
and what's better:
\[5cosx=1\]
\[cosx=\frac{ 1 }{ 5 }\]
and now, you can solve the rest.