# Find the X and Y Intercepts y=-3sin(x+pi/2)

Find the X and Y Intercepts y=-3sin(x+pi/2)
Find the x-intercepts.
To find the x-intercept(s), substitute in for and solve for .
Solve the equation.
Rewrite the equation as .
Divide each term by and simplify.
Divide each term in by .
Cancel the common factor of .
Cancel the common factor.
Divide by .
Divide by .
Take the inverse sine 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 sine function is positive in the first and second quadrants. To find the second solution, subtract the reference angle from to find the solution in the second quadrant.
Simplify the expression to find the second solution.
Subtract from .
Move all terms not containing to the right side of the equation.
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.
Move to the left of .
Subtract from .
Find the period of .
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.
Add to to find the positive angle.
To write as a fraction with a common denominator, multiply by .
Combine fractions.
Combine and .
Combine the numerators over the common denominator.
Simplify the numerator.
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
, 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.
To find the y-intercept(s), substitute in for and solve for .
Solve the equation.
Remove parentheses.
Simplify .
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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### Name

Name nine hundred forty-six million four hundred twenty-one thousand three hundred fourteen

### Interesting facts

• 946421314 has 32 divisors, whose sum is 1546300800
• The reverse of 946421314 is 413124649
• Previous prime number is 43

### Basic properties

• Is Prime? no
• Number parity even
• Number length 9
• Sum of Digits 34
• Digital Root 7

### Name

Name one hundred eighty-three million seventy-seven thousand one hundred twenty-seven

### Interesting facts

• 183077127 has 4 divisors, whose sum is 203419040
• The reverse of 183077127 is 721770381
• Previous prime number is 9

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 9
• Sum of Digits 36
• Digital Root 9

### Name

Name six hundred seventeen million five hundred sixty-one thousand three hundred ninety-six

### Interesting facts

• 617561396 has 8 divisors, whose sum is 1389513150
• The reverse of 617561396 is 693165716
• Previous prime number is 2

### Basic properties

• Is Prime? no
• Number parity even
• Number length 9
• Sum of Digits 44
• Digital Root 8