Solve for x sin(x)=-0.78

Take the inverse sine of both sides of the equation to extract from inside the sine.
Evaluate .
The sine function is negative in the third and fourth quadrants. To find the second solution, subtract the solution from , to find a reference angle. Next, add this reference angle to to find the solution in the third quadrant.
Simplify the expression to find the second solution.
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Remove the parentheses around the expression .
Simplify .
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Multiply by .
Add and .
Add and .
Find the period.
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The period of the function can be calculated using .
Replace with in the formula for period.
Solve the equation.
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The absolute value is the distance between a number and zero. The distance between and is .
Divide by .
Add to every negative angle to get positive angles.
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Add to to find the positive angle.
Subtract from .
List the new angles.
The period of the function is so values will repeat every radians in both directions.
, for any integer
Solve for x sin(x)=-0.78

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Charlie Trom

Lucy Evel

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