SOLUTION: how do you find theta to the nearest second in a function question? example: tan(theta symbol)= .7465

Algebra ->  Trigonometry-basics -> SOLUTION: how do you find theta to the nearest second in a function question? example: tan(theta symbol)= .7465      Log On


   

Question 409861: how do you find theta to the nearest second in a function question?
example:
tan(theta symbol)= .7465
Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
Take the inverse tangent of both sides to obtain

theta+=+arctan%28.7465%29.

Note that the tangent function is periodic with period 180 degrees, so we can add some integer multiple of 180 to our value for theta:

theta+=+arctan%28.7465%29+%2B+180k where k is any integer.