how can you find points of a tri equation at orgin 1/4, 1/2, 3/4, and end of the period

To find the points of a trigonometric equation at specific values, we need to evaluate the equation at those points. In this case, you have given the equation at the origin, 1/4, 1/2, 3/4, and the end of the period.

Let's assume the trigonometric equation is in the form:

y = f(x)

To find the points, substitute the given x-values into the equation and calculate the corresponding y-values.

1. Origin (x = 0)
Substitute x = 0 into the equation and calculate y.

y = f(0)

2. 1/4 (x = 1/4)
Substitute x = 1/4 into the equation and calculate y.

y = f(1/4)

3. 1/2 (x = 1/2)
Substitute x = 1/2 into the equation and calculate y.

y = f(1/2)

4. 3/4 (x = 3/4)
Substitute x = 3/4 into the equation and calculate y.

y = f(3/4)

5. End of the period
To find the end of the period, you need to know the period of the trigonometric function. For example, if it is a sine or cosine function, the period is typically 2π. If it is a tangent function, the period is π.

To calculate the end of the period:

End of period = Starting point + Period

The starting point could be 0, 1/4, or any other given value.

Once you have calculated the y-values for each x-value, you will have the corresponding points of the trigonometric equation at the given values.