i need help solving this plz

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29-10-2017
Mathematics

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i need help solving this plz

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Serpentiel Serpentiel · Answer 1 · 2017-10-29T00:59:21+02:00

We can rewrite [tex]cot(45^{\circ}+2\theta)[/tex] as [tex]tan(90^{\circ}-(45^{\circ}+2\theta)[/tex] [tex]\Rightarrow[/tex] [tex]cot(45^{\circ}+2\theta)[/tex] equals to [tex]tan(45^{\circ}-2\theta)[/tex].

Now we need to take an [tex]arctan[/tex] of both sides.

[tex]\theta = 45^{\circ}-2\theta+180n^{\circ} \\3\theta = 180n^{\circ}+45^{\circ} \\\theta = 60n^{\circ}+15^{\circ} \\\theta = 15^{\circ}[/tex]

Your answer is [tex]15^{\circ}[/tex].