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

if the radi is 1, then
1@315=sin315+jcos315= 0.707+j.707posted by bobpursley

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

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.
Youposted by bobpursley

In trig we consider the positive xaxis 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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