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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-> 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):
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.
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Answer:
Depending on the mode that you're supposed to use, the solutions are:
(