Find Amplitude, Period, and Phase Shift y=-2sin(x)

$y = - 2 \sin (x)$

Use the form $a \sin (b x - c) + d$ to find the variables used to find the amplitude, period, phase shift, and vertical shift.

$a = - 2$

$b = 1$

$c = 0$

$d = 0$

Find the amplitude $| a |$ .

Amplitude: $2$

Find the period using the formula $\frac{2 π}{| b |}$ .

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The period of the function can be calculated using $\frac{2 π}{| b |}$ .

Period: $\frac{2 π}{| b |}$

Replace $b$ with $1$ in the formula for period.

Period: $\frac{2 π}{| 1 |}$

Solve the equation.

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The absolute value is the distance between a number and zero. The distance between $0$ and $1$ is $1$ .

Period: $\frac{2 π}{1}$

Divide $2 π$ by $1$ .

Period: $2 π$

Find the phase shift using the formula $\frac{c}{b}$ .

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The phase shift of the function can be calculated from $\frac{c}{b}$ .

Phase Shift: $\frac{c}{b}$

Replace the values of $c$ and $b$ in the equation for phase shift.

Phase Shift: $\frac{0}{1}$

Divide $0$ by $1$ .

Phase Shift: $0$

Find the vertical shift $d$ .

Vertical Shift: $0$

List the properties of the trigonometric function.

Amplitude: $2$

Period: $2 π$

Phase Shift: $0$ ( $0$ to the right)

Vertical Shift: $0$

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Name

Name	one billion two hundred ninety-eight million six hundred thirty-four thousand nine hundred fifty-six

Interesting facts

1298634956 has 16 divisors, whose sum is 2954760120
The reverse of 1298634956 is 6594368921
Previous prime number is 89

Basic properties

Is Prime? no
Number parity even
Number length 10
Sum of Digits 53
Digital Root 8

Name

Name	eight hundred eighty-nine million six hundred ninety-seven thousand one hundred fourteen

Interesting facts

889697114 has 16 divisors, whose sum is 1366204320
The reverse of 889697114 is 411796988
Previous prime number is 211

Basic properties

Is Prime? no
Number parity even
Number length 9
Sum of Digits 53
Digital Root 8

Name

Name	four hundred twenty-four million one hundred thirty-four thousand seven hundred eighty-eight

Interesting facts

424134788 has 32 divisors, whose sum is 964224000
The reverse of 424134788 is 887431424
Previous prime number is 127

Basic properties

Is Prime? no
Number parity even
Number length 9
Sum of Digits 41
Digital Root 5

Find the Exact Value csc((15pi)/8)

Solve for x (2x)/7=1/3

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