Algebra Example: [sin(y)-2sin(x^2)sin(2y)]
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Frequently Asked Questions (FAQ)
What is [sin(y)-2sin(x^2)sin(2y)] ?
- The solution to [sin(y)-2sin(x^2)sin(2y)] is sin(y)-2sin(2y)sin(x^2)
- -2\sin(x^{2})\sin(2y)]&line2=\mathrm{Solution:\:}\sin(y)-2\sin(2y)\sin(x^{2}))
Trigonometry Examples
Step 1
Use the form to find the variables used to find the amplitude, period, phase shift, and vertical shift.
Step 2
Find the amplitude .
Amplitude:
Step 3
Step 3.1
The period of the function can be calculated using .
Step 3.2
Replace with in the formula for period.
Step 3.3
The absolute value is the distance between a number and zero. The distance between and is .
Step 3.4
Step 4
Find the phase shift using the formula .
Step 4.1
The phase shift of the function can be calculated from .
Phase Shift:
Step 4.2
Replace the values of and in the equation for phase shift.
Phase Shift:
Step 4.3
Step 5
List the properties of the trigonometric function.
Amplitude:
Period:
Phase Shift: ( to the right)
Vertical Shift: None
Step 6
Select a few points to graph.
Step 6.1
Step 6.1.1
Replace the variable with in the expression.
Step 6.1.2
Step 6.1.2.1
Step 6.1.2.2
Step 6.1.2.3
Step 6.1.2.4
Step 6.2
Step 6.2.1
Replace the variable with in the expression.
Step 6.2.2
Step 6.2.2.1
Step 6.2.2.2
Step 6.2.2.3
Step 6.2.2.4
Step 6.2.2.5
Step 6.3
Step 6.3.1
Replace the variable with in the expression.
Step 6.3.2
Step 6.3.2.1
Step 6.3.2.2
Step 6.3.2.3
Apply the reference angle by finding the angle with equivalent trig values in the first quadrant.
Step 6.3.2.4
Step 6.3.2.5
Step 6.3.2.6
Step 6.4
Step 6.4.1
Replace the variable with in the expression.
Step 6.4.2
Step 6.4.2.1
Step 6.4.2.2
Step 6.4.2.3
Apply the reference angle by finding the angle with equivalent trig values in the first quadrant. Make the expression negative because sine is negative in the fourth quadrant.
Step 6.4.2.4
Step 6.4.2.5
Step 6.4.2.5.1
Step 6.4.2.5.2
Step 6.4.2.6
Step 6.5
Step 6.5.1
Replace the variable with in the expression.
Step 6.5.2
Step 6.5.2.1
Step 6.5.2.2
Step 6.5.2.3
Subtract full rotations of until the angle is greater than or equal to and less than .
Step 6.5.2.4
Step 6.5.2.5
Step 6.5.2.6
Step 6.6
List the points in a table.
Step 7
The trig function can be graphed using the amplitude, period, phase shift, vertical shift, and the points.
Amplitude:
Period:
Phase Shift: ( to the right)
Vertical Shift: None