Need urgent help with this grad 11 trig question  The x-coordinate of the point that lies on the terminal arm of angle θ in standard position is -6. the y-coordinate of the point that lies on the terminal arm of angle θ in standard position is 5. Coordinate (-6,5) 1) Using the coordinate draw a fully labelled terminal arm diagram (in standard position in the Cartesian plane) and use this diagram and the CAST rule to determine the six trigonometric ratios for the principal angle in standard form only. (PLZ leave answers in exact simplified form)     a)  Then determine the principal angle and the reference angle.

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A: The objective of the question is determine the distance between the points.

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A: a Given     4,1,-2and x=1+t , y=3-t , z=4-3t   Now   1+ti+3-2tj+4-3tk   1i+ti+3j-2tj+4k-3tk…

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Q: Triangle ABC is a right triangle and is shown in the Cartesian plane below.

A: Given that:         A right triangle ABC as shown below:

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A: Explained below

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A: Mid point of the line joining two points (x1,y1)  and (x2,y2) is given by M=((x1+x2)/2 , (y1+y2)/2)

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A: We will find what happens when rotate the point (x,y) counterclockwise as following.

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A: Reflection of a point (x, y) over the x-axis is (x, -y) and over the y-axis is (-x, y).

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A: given,

Q: 4. What are the coordinates of point A? (0.0,5) (0,6 (0,6,0 Flgure 1 O (2, 0, 5)

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Q: 4) Translate triangle ABC +3 in the x-direction and - 8 in the y-direction. Draw the new location of…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

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A: Simplify it for the solution

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A: since you have asked multiple questions in single request so we will be answering only first…

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A: This question can be solved by applying the concept of internal division.

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A: Since you have asked multiple questions in a single request, we would be answering only the first…

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A: Recall: Mid-Point Formula: Let (x,y) be the midpoint of the points (x1,y1) and (x2,y2) is given by…

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A: Given- To do -

Q: Discuss the essential differences between Euclidean geometry and non-Euclidean geometry. (Cite your…

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Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.