Problemas
Use a calculator to solve the equation on the interval [0,2pi ) sinx=0.7821 What are the solutions in the interval [0,2pi ) Select the correct choice below and, if necessary.fill in the answer box to complete your cho A. x=square (Type your answer in radians. Round to four decimal places as needed Use a comma to separate answers as needed.) B. There is no solution.
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Respuesta
To solve the equation
on the interval
, we need to find the values of
for which the sine function equals 0.7821.The sine function is positive in the first and second quadrants. Therefore, we need to find the angles in these quadrants where the sine value is 0.7821.Using a calculator, we can find the inverse sine of 0.7821:
radiansSince the sine function is positive in the first and second quadrants, we can write the solutions as:
Therefore, the solutions to the equation
on the interval
are:A.