(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

I am trying to find out how to solve for x without a calculator.

Basically where [tex] tan({x}) [/tex] and [tex]sqrt{2}*cos{x}[/tex] intersect.

2. Relevant equations

Find [tex]x[/tex] in the range of [tex]0 \le {x} \le \frac {pi}{2}[/tex]

3. The attempt at a solution

I couldn't find out how to solve this without a calculator.

I tried fooling around with the trigometric properties like the double argument and pythagorean, but I still couldn't find out.

My teacher doesn't know either. lol.

The answer by looking at it graphically is [tex]\frac {pi}{4}[/tex]

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# Two trigometric functions intersect point

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