Trigonometry

I'm having trouble doing trigonometry.

Determine the possible coordinates of a terminal point for each angle in standard position.

A) 315°

I have no clue how to do this. Please explain and show me the work so I can do the rest of the questions myself

asked by Sarah
  1. if the radi is 1, then
    1@315=sin315+jcos315= -0.707+j.707

    posted by bobpursley
  2. And if I choose 4 as the radi. Then would it be:
    sin (315°)= y/4
    4 sin (315°)= -2.8284
    So that is the y value.

    Cos (315°) = x/4
    4 cos (315°) = 2.8284
    So that is the x value

    ?

    posted by Sarah
  3. Where are you measuing the angle from, and in which direction? It makes all the difference. If you are measuring from the positive x axis, counterclockwise, yes, x will be positve, and y will be negative, as you did above
    My example was measuring the angle from the j (y axis), clockwise.
    You

    posted by bobpursley
  4. In trig we consider the positive x-axis to have a direction of 0 degrees (or radians) and consider counterclockwise to be a positive rotation, so
    East -- 0
    North -- 90
    West -- 180
    South -- 270

    So for a unit circle of radius 1, any point
    (x,y) can be labelled (cosθ , sinθ)
    so for your angle of 135 degrees, we could have (cos135, sin135)
    or
    (-sqrt(2)/2 , 1/2)

    bobpursley gave you -0.707+j.707
    which is the same thing expressed as a vector.

    multiply the x and y coordinates by the same number would simply change the length of your radius.

    posted by Reiny

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