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.Com
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)   (Show Source): You can put this solution on YOUR website!




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:

       rounds to 2.16

      Not this:

      ]

Edwin
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