SOLUTION: tan (theta) = 1.4739716
if someone could please tell me how to even begin approaching this problem, it'd be a HUGE help. thank you!!!
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Question 217224: tan (theta) = 1.4739716
if someone could please tell me how to even begin approaching this problem, it'd be a HUGE help. thank you!!!
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Note: the answer will vary depending on what mode you are in (either degrees or radians).
What you're looking for is the value of
that will satisfy
. To find
, you need to apply the arctangent to both sides. This will effectively 'undo' the tangent on the left side and cancel it out (which will isolate
).
If you're not sure how to do what I described above, then read on...
... Start with the given equation.
... Take the arctangent of both sides.
... Evaluate the arctangent of the tangent of
to get
... Evaluate the arctangent of 1.4739716 to approximately get 55.845 degrees. Remember to add on multiples of 180 to account for all solutions.
Note: make sure you're in the right mode when you take the arctangent of 1.4739716
If you're supposed to be in radian mode, then...
... Evaluate the arctangent of 1.4739716 to approximately get 55.845 degrees. Remember to add on multiples of
to account for all solutions.
=================================================
Answer:
Depending on the mode that you're supposed to use, the solutions are:
(if you're working with degrees)
or...
(if you're working with radians)
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