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The graph of the function y = (sin x)^2 has the same amplitude 1, and the same period 2pi, as the graph of the function y = sin x. The only difference between them is that the part of the graph of y = sin x which is below the x-axis is reflected above x axis.
In order to graph the function y = (sin x)^2, we need to find the values of (x, y) for the five key points, where 0 ≤ x ≤ 2pi.
Values of (x, y) on y = (sin x)^2:
x = 0, y = 0
x = pi/2, y = 1
x = pi, y = 0
x = 3pi/2, y = 1
x = 2pi, y = 0
Plot these five key points and connect them with a smooth curve and graph one complete cycle of the given function.
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What is sin squared x minus cos squared x?
Sin squared, cos squared...you removed the x in the equation.
What does cos squared x - Sin squared x equal?
2 x cosine squared x -1 which also equals cos (2x)
Is f(x) shifted downward a units?
To shift a funcion (or its graph) down "a" units, you subtract "a" from the function. For example, x squared gives you a certain graph; "x squared minus a" will give you the same graph, but shifted down "a" units. Similarly, you can shift a graph upwards "a" units, by adding "a" to the function.
How do you factor sin squared times x plus cos2x -cosx equals 0?
2
How do you solve sin x multiplied to Sin squared x is equal to 1?
sin(x)*sin2(x) = 1 so sin3(x) = 1 so that sin(x) = cuberoot(1) = 1 then x = pi/2 + n*pi where n is an integer.
What is sine squared?
Answer 1 Put simply, sine squared is sinX x sinX. However, sine is a function, so the real question must be 'what is sinx squared' or 'what is sin squared x': 'Sin(x) squared' would be sin(x^2), i.e. the 'x' is squared before performing the function sin. 'Sin squared x' would be sin^2(x) i.e. sin squared times sin squared: sin(x) x sin(x). This can also be written as (sinx)^2 but means exactly the same. Answer 2 Sine squared is sin^2(x). If the power was placed like this sin(x)^2, then the X is what is being squared. If it's sin^2(x) it's telling you they want sin(x) times sin(x).
What does the graph of sin squared x look like?
cos(2x) = 1 - 2(sin(x)^2), so sin(x)^2 = 1/2 - 1/2*cos(2x).
What is sin squared x minus cos squared x?
Sin squared, cos squared...you removed the x in the equation.
Is 2 sin squared x the same as 2 sin x?
No.
What is Sin squared x - Cos squared x divided by 1 - Tan squared x equals cos squared x?
22
What does 1 - cos squared equal?
Note that an angle should always be specified - for example, 1 - cos square x. Due to the Pythagorean formula, this can be simplified as sin square x. Note that sin square x is a shortcut of (sin x) squared.
How do you differentiate sin squared x plus cos squared x?
The deriviative of sin2 x + cos2 x is 2 cos x - 2 sin x
Does cos squared x over sin squared x equal cot squared x?
Yes. Except where sin x = 0, because then you would be dividing by zero so the quotient is undefined.
How do you solve 2 sin squared x?
Do sin(x), square it, and then multiply it by two.
What does cos squared x - Sin squared x equal?
2 x cosine squared x -1 which also equals cos (2x)
How do you graph x squared plus y squared equals 36?
The graph is a circle with a radius of 6, centered at the origin.
What is sin squared x equal to?
sin x times sin x. or 1/cosec2(x) or 1 - cos2(x) or tan2(x)*cos2(x) etc, etc.
