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Mathematics 18 Online
OpenStudy (anonymous):

tan(2theta+6)=-.259

OpenStudy (anonymous):

\[2\theta+6= \tan^{-1} \left( -.259 \right)=-14.52,2\theta=-14.52-6=-20.52,\theta=-10.26\]

OpenStudy (anonymous):

so the answer is -10.26?

OpenStudy (anonymous):

is this in radians?

OpenStudy (anonymous):

yes in degrees

OpenStudy (anonymous):

In radians is -.179?

OpenStudy (anonymous):

what is 2 theta +6 given,in degrees or radians.

OpenStudy (anonymous):

\[6 degree=6*\frac{ \pi }{ 180 }=0.1047~ radians\] \[\tan (2\theta+6)=\tan \left( 2\theta+0.1047 \right)=-0.259\] \[2\theta+0.1047=\tan^{-1} \left( -0.259 \right)=-0.2534,2\theta=-0.2534-0.1047=-0.3581\] \[\theta=-0.179\]

OpenStudy (anonymous):

also \[-10.26*\frac{ \pi }{ 180 }=-0.179\]

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