How to solve cot⁡(2x)=−76?Trying anything at one point, I thought I could rearrange to get tan⁡(2x) then apply arctan⁡ and divide by 2 but that doesn't work.The angle x is supposed to be 69.7 degrees from the solutions I'm working with.

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How to solve cot⁡(2x)=−76?Trying anything at one point, I thought I could rearrange to get tan⁡(2x) then apply arctan⁡ and divide by 2 but that doesn&#039;t work.The angle x is supposed to be 69.7 degrees from the solutions I&#039;m working with.

Kathleen Sanchez · Accepted Answer

tan⁡2x=−67If you just take the arctan, you get −40.6∘. Note that the tangent function has a periodicity of 180∘ , so you can use 2x=180∘−40.6∘=139.4∘ , which yields 69.7∘

Demetrius Kaufman · Accepted Answer

cot⁡(2x)=−76tan⁡(2x)=−672x=tan−1(−67)x=(12)tan−1(−67)≈−20.30degreesFor a positive solution you may add 90 degrees to getx=(12)tan−1(−67)+90≈69.69degrees

How to solve \(\displaystyle{\cot{{\left({2}{x}\right)}}}=-{\frac{{{7}}}{{{6}}}}\)? Trying anything at one

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