Question 1152510
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<pre>

They want you calculate sin(480°) + tan(390°).



The angle 480° is more than 1 full rotation, which, as you should know, is 360°.


So, the angle of 480° is equivalent to  480° - 360° = 120°,  and sin(480°) = sin(120°).


What is sin(120°), knows every student:  it is  {{{sqrt(3)/2}}}.



The angle 390° is also more than 1 full rotation and is equivalent to 390° - 360° = 30°.  


Therefore,  tan(390°) = tan(30°).  What is  tan(30°),  knows any student:  it is  {{{sqrt(3)/3}}}.



Therefore, the  <U>ANSWER</U>  to the problem's question is

   sin(480°) + tan(390°) = {{{sqrt(3)/2)}}} + {{{sqrt(3)/3}}}.



You may transform this expression further, if you want or if you need.
</pre>

Solved, answered, explained and completed.


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