SOLUTION: Solve for all values of 0, such that 0 deg < theta < 360 deg , rounding all values to the nearest tenth. If there is no solution, just press submit. 5tan(theta) + 7 = 0

Algebra ->  Trigonometry-basics -> SOLUTION: Solve for all values of 0, such that 0 deg < theta < 360 deg , rounding all values to the nearest tenth. If there is no solution, just press submit. 5tan(theta) + 7 = 0      Log On


   

Question 1201114: Solve for all values of 0, such that 0 deg < theta < 360 deg , rounding all values to the nearest tenth. If there is no solution, just press submit.
5tan(theta) + 7 = 0
Answer by ikleyn(52812) About Me  (Show Source):
You can put this solution on YOUR website!
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Solve for all values of 0, such that 0 deg < theta < 360 deg , rounding all values
to the nearest tenth. If there is no solution, just press submit.
5tan(¤) + 7 = 0
~~~~~~~~~~~~~~~~~~~~ 

    5%2Atan%28theta%29+%2B+7 = 0

    5%2Atan%28theta%29 = -7

    tan%28theta%29 = -7%2F5


In the interval [0°, 360°),  there are two approximate solutions

    theta = arctan%28-7%2F5%29 + 180° = -54.7° + 180° = 125.3°

and

    theta = 125.3° + 180° = 305.3°.


ANSWER.  In the interval [0°, 360°),  there are two approximate solutions 125.3°  and  305.3°.

Solved.