what does x equal? 35 + sec^2x = 12tanx
\(35 + sec^2x = 12tanx\)
\(sec^2x=\frac{1}{cos^2x}=\frac{1}{\frac{1}{1+tan^2x}}=1+tan^2x\)
\(35+1+tan^2x=12tanx\)
\(tanx=z\)
\(z^2-12z+36=0\)
\(z=6\pm\sqrt{36-36} \)
\(z=6\)
\(tanx=6\)
\(x=arctan6\)
\(x=1.4056476 \ or \ x=80grd\ 32min\ 15.6sec\)
\(and \ x=1.4056476+\pi \ or \ x=80grd\ 32min\ 15.6sec+ 180grd\)
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