To find the x-intercept(s), substitute in for and solve for .
Solve the equation.
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Rewrite the equation as .
Divide each term by and simplify.
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Divide each term in by .
Cancel the common factor of .
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Cancel the common factor.
Divide by .
Divide by .
Take the inversesine of both sides of the equation to extract from inside the sine.
The exact value of is .
Subtract from both sides of the equation.
The sinefunction is positive in the first and secondquadrants. To find the secondsolution, subtract the reference angle from to find the solution in the secondquadrant.
Simplify the expression to find the secondsolution.
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Subtract from .
Move all terms not containing to the right side of the equation.
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Subtract from both sides of the equation.
To write as a fraction with a common denominator, multiply by .
Combine and .
Combine the numerators over the common denominator.
Simplify the numerator.
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Move to the left of .
Subtract from .
Find the period of .
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The period of the function can be calculated using .
Replace with in the formula for period.
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.
To write as a fraction with a common denominator, multiply by .
Combinefractions.
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Combine and .
Combine the numerators over the common denominator.
Simplify the numerator.
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Multiply by .
Subtract from .
List the new angles.
The period of the function is so values will repeat every radians in both directions.
, for any integer
Consolidate the answers.
, for any integer
, for any integer
x-intercept(s) in point form.
x-intercept(s): , for any integer
x-intercept(s): , for any integer
Find the y-intercepts.
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To find the y-intercept(s), substitute in for and solve for .
Solve the equation.
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Remove parentheses.
Simplify .
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Add and .
The exact value of is .
Multiply by .
y-intercept(s) in point form.
y-intercept(s):
y-intercept(s):
List the intersections.
x-intercept(s): , for any integer
y-intercept(s):
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