Notes: `m = 1/2` find the inclination 'theta' (in radians and degrees) of the line with slope m.

Saturday, August 10, 2013

The given slope is $\displaystyle{m}=\frac{{1}}{{2}}$ .

Take note that if the slope of the line is given, to get the angle of inclination, apply the formula:

$\displaystyle{\tan{\theta}}={m}$

Plugging in the given value of m, the formula becomes:

$\displaystyle{\tan{\theta}}=\frac{{1}}{{2}}$

To isolate theta, take the inverse of tangent.

$\displaystyle\theta={{\tan}}^{{-{1}}}{\left(\frac{{1}}{{2}}\right)}$

$\displaystyle\theta={0.4636476090}{r}{a}{d}={{26.56505117}}^{{o}}$

Rounding off to four decimal places, the values become:

$\displaystyle\theta={0.4636}{r}{a}{d}={{26.5651}}^{{o}}$

Therefore, the angle of inclination in radian is 0.4636 rad. And in degree, the angle of inclination is $\displaystyle{{26.5651}}^{{o}}.$

Notes