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# tan(½x-20º)=1

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tan(½x-20º)=1

May 4, 2017

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If you just want the answer for    $$\tan(\frac12x-20º)$$  in the first quadrant...

$$\tan(\frac12x-20º)=1\\~\\ \frac12x-20º=\arctan(1) \\~\\ \frac12x-20º=45º \\~\\ \frac12x=45º+20º \\~\\ \frac12x=65º \\~\\ x=65º*2\\~\\x=130º$$

If you want the general solution please say so

May 4, 2017