SOLUTION: Solve the trigonometric equation in the interval [0, 2𝜋). Give the exact value, if possible; otherwise, round your answer to two decimal places. (Enter your answers as a com

Algebra ->  Trigonometry-basics -> SOLUTION: Solve the trigonometric equation in the interval [0, 2𝜋). Give the exact value, if possible; otherwise, round your answer to two decimal places. (Enter your answers as a com      Log On


   



Question 1201569: Solve the trigonometric equation in the interval
[0, 2𝜋).
Give the exact value, if possible; otherwise, round your answer to two decimal places. (Enter your answers as a comma-separated list.)
6 sin(𝜃) − 5 = 0

Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!
6sin%28theta%29+%E2%88%92+5+=+0
6sin%28theta%29=5
sin%28theta%29=5%2F6

It isn't possible to find exact answers.

The sine is positive in QI and QII.

An approximation for the value in QI is found immediately by calculator as

0.9851107833, rounded to two decimals, 0.99

An approximation for the value in QII is found by subtracting that value
from π

2.15648187, rounded to two decimals, 2.16.  

Note: you should use the calculator answers to form the subtraction BEFORE
rounding.  Rule: Round ONLY the final answer, not intermediate answers.

      [IOW, do this:

      3.141592654+-+0.9851107833+=+2.15648187 rounds to 2.16

      Not this:

      cross%283.14-0.99=2.15%29]

Edwin