Question 1152510: If f(0) = sin0 and k(0) = tan0, find f(480)+k(390). Do not use a calculator and show fina answer please with steps. thanks
Found 2 solutions by greenestamps, ikleyn:
Answer by greenestamps(13200)   (Show Source):
You can put this solution on YOUR website!
The statement of the problem uses invalid notation; as a result, there is no way to find the answer.
Fortunately it is quite clear what the real meaning of the problem is.
If  f(x) = sin(x) and k(x) = tan(x), find f(480)+k(390).
f(480) = f(480-360) = f(120) = sin(120)
k(390) = k(390-360) = k(30) = tan(30)
Use your unit circle to find the answers.
Answer by ikleyn(52788)  (Show Source):
You can put this solution on YOUR website! .
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  .
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  .
Therefore, the ANSWER to the problem's question is
sin(480°) + tan(390°) =  + .
You may transform this expression further, if you want or if you need.
Solved, answered, explained and completed.
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