Graph G(x)=2sin(x) - Mathway

Enter a problem... Trigonometry Examples Popular Problems Trigonometry Graph g(x)=2sin(x) Step 1Use the form to find the variables used to find the amplitude, period, phase shift, and vertical shift.Step 2Find the amplitude .Amplitude: Step 3Find the period of .Tap for more steps...Step 3.1The period of the function can be calculated using .Step 3.2Replace with in the formula for period.Step 3.3The absolute value is the distance between a number and zero. The distance between and is .Step 3.4Divide by .Step 4Find the phase shift using the formula .Tap for more steps...Step 4.1The phase shift of the function can be calculated from .Phase Shift: Step 4.2Replace the values of and in the equation for phase shift.Phase Shift: Step 4.3Divide by .Phase Shift: Phase Shift: Step 5List the properties of the trigonometric function.Amplitude: Period: Phase Shift: NoneVertical Shift: NoneStep 6Select a few points to graph.Tap for more steps...Step 6.1Find the point at .Tap for more steps...Step 6.1.1Replace the variable with in the expression.Step 6.1.2Simplify the result.Tap for more steps...Step 6.1.2.1The exact value of is .Step 6.1.2.2Multiply by .Step 6.1.2.3The final answer is .Step 6.2Find the point at .Tap for more steps...Step 6.2.1Replace the variable with in the expression.Step 6.2.2Simplify the result.Tap for more steps...Step 6.2.2.1The exact value of is .Step 6.2.2.2Multiply by .Step 6.2.2.3The final answer is .Step 6.3Find the point at .Tap for more steps...Step 6.3.1Replace the variable with in the expression.Step 6.3.2Simplify the result.Tap for more steps...Step 6.3.2.1Apply the reference angle by finding the angle with equivalent trig values in the first quadrant.Step 6.3.2.2The exact value of is .Step 6.3.2.3Multiply by .Step 6.3.2.4The final answer is .Step 6.4Find the point at .Tap for more steps...Step 6.4.1Replace the variable with in the expression.Step 6.4.2Simplify the result.Tap for more steps...Step 6.4.2.1Apply 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 6.4.2.2The exact value of is .Step 6.4.2.3Multiply .Tap for more steps...Step 6.4.2.3.1Multiply by .Step 6.4.2.3.2Multiply by .Step 6.4.2.4The final answer is .Step 6.5Find the point at .Tap for more steps...Step 6.5.1Replace the variable with in the expression.Step 6.5.2Simplify the result.Tap for more steps...Step 6.5.2.1Subtract full rotations of until the angle is greater than or equal to and less than .Step 6.5.2.2The exact value of is .Step 6.5.2.3Multiply by .Step 6.5.2.4The final answer is .Step 6.6List the points in a table.Step 7The trig function can be graphed using the amplitude, period, phase shift, vertical shift, and the points.Amplitude: Period: Phase Shift: NoneVertical Shift: NoneStep 8

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