Finding the points intersection find the points intersection

Coordinates of Intersection Points Answers needed

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Finding the coordinates of intersection points:

Here's how to find the coordinates of the points of intersection of the graph of the relation y = cosec²(πx/6) with the line y = 4/3, for 0 < x < 12:

To find the points of intersection, we need to set the two equations equal to each other and solve for x:

cosec²(πx/6) = 4/3

cosec(πx/6) = 2√(3/4)

• Take the inverse cosecant of both sides (arccosecant):

• Calculate the arccosecant of 2√(3/4) using a calculator or numerical methods. You'll get an approximate value, let's call it θ.

• Substitute θ into the equation and multiply by 6/π to find the x values within the range 0 < x < 12:

• There might be additional solutions outside the given range (0 < x < 12) due to the periodic nature of the cosecant function. You can check for these by adding multiples of π to the calculated x values.