Monday, April 21, 2014

`m = -7/9` find the inclination 'theta' (in radians and degrees) of the line with slope m.

You need to use the following formula to evaluate the inclination angle theta, such that:


`tan theta = m`


Replacing-`7/9` for m,  yields:


`tan theta = -7/9 => theta = tan^(-1)(-7/9) => theta = -tan^(-1) (7/9)`


`theta = -37^o 50' 49''`


The answer in radians can be calculated such that:


`theta = (-37^o 50' 49''*pi)/(180^o)`


`theta =- 0.660` radians


Hence, evaluating the angle theta in degrees and radians yields `theta = - -37^o 50' 49''` or` theta` = - 0.660 radians.

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