how do you activate tan fraction to degrees, minutes and seconds
example: Tan alpha= 2,64
+33616 First do tan-1(2.64) (use 2nd atan on the calculator)
$$\underset{\,\,\,\,^{\textcolor[rgb]{0.66,0.66,0.66}{360^\circ}}}{{tan}}^{\!\!\mathtt{-1}}{\left({\mathtt{2.64}}\right)} = {\mathtt{69.253\: \!919\: \!724\: \!317^{\circ}}}$$
This is 69° plus a fraction of a degree. Multiply the fraction by 60 to get minutes.
$${\mathtt{0.253\: \!919\: \!724\: \!317}}{\mathtt{\,\times\,}}{\mathtt{60}} = {\mathtt{15.235\: \!183\: \!459\: \!02}}$$
This gives 15' plus a fraction of a minute. Multiply the fraction by 60 to get seconds.
$${\mathtt{0.235\: \!183\: \!459\: \!02}}{\mathtt{\,\times\,}}{\mathtt{60}} = {\mathtt{14.111\: \!007\: \!541\: \!2}}$$
This is 14'' to the nearest second. So the result is 69°15'14''
Tan is also positive in the 3rd quadrant, so you could add this angle to 180° to get the 3rd quadrant solution.
+33616 First do tan-1(2.64) (use 2nd atan on the calculator)
$$\underset{\,\,\,\,^{\textcolor[rgb]{0.66,0.66,0.66}{360^\circ}}}{{tan}}^{\!\!\mathtt{-1}}{\left({\mathtt{2.64}}\right)} = {\mathtt{69.253\: \!919\: \!724\: \!317^{\circ}}}$$
This is 69° plus a fraction of a degree. Multiply the fraction by 60 to get minutes.
$${\mathtt{0.253\: \!919\: \!724\: \!317}}{\mathtt{\,\times\,}}{\mathtt{60}} = {\mathtt{15.235\: \!183\: \!459\: \!02}}$$
This gives 15' plus a fraction of a minute. Multiply the fraction by 60 to get seconds.
$${\mathtt{0.235\: \!183\: \!459\: \!02}}{\mathtt{\,\times\,}}{\mathtt{60}} = {\mathtt{14.111\: \!007\: \!541\: \!2}}$$
This is 14'' to the nearest second. So the result is 69°15'14''
Tan is also positive in the 3rd quadrant, so you could add this angle to 180° to get the 3rd quadrant solution.
