Terminal angles

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I need to find a terminal angle...positive and negative to (-1,square root of -3)...??
how do you do this???
 
Graph the given point.

In which quadrant does this point lie?

Draw the triangle with one side on the x-axis and height parallel to the y-axis, with this graphed point as the far endpoint of the hypotenuse (the near endpoint, of course, being the origin).

Use the point's coordinates to label the two legs with their lengths. Use the Pythagorean Theorem to find the length of the hypotenuse.

Review your reference-angle values. What must be the value of the angle at the origin? Use this information to find the sizes of the angles between the x-axis and the hypotenuse line. (One angle will be measured clockwise and the other will be measured anti-clockwise.)

Eliz.
 
what you said makes no sence to me!!

using a unit circle (-1,square root of -3) is the tangent of 150 degrees!
so is 150 degrees my positive tanget angle or do i need to add 360 degrees to it?
to get a negative terminal angle would i subtract 360 degrees?
 
x < 0
y < 0
Quadrant III
150º is no good.

Draw a grid. Label the four quadrants. Never be confused again. :)
 
how did you get zeros?
that does not make sence???
sorry but still confused i have the quadrants down but from there i have no clue?
 
AMANDA_L_10 said:
what you said makes no sence to me!
Click to expand...
So you don't know how to plot points? You're not familiar with quadrants? You don't know the Pythagorean Theorem?

Please clarify at which point you are lost. While different books, to be fair, cover this content in different manners, at least some of this should have been familiar to you.

Thank you.

Eliz.
 
in this situation i have no clue where to begin!!!! if you could just help and explain so i can understand that would be great!! i think i have done enough in terms of clarifying!
 
AMANDA_L_10 said:
in this situation i have no clue where to begin!
Click to expand...
"Where to begin" is by drawing the point (or at least noting the signs on the x- and y-coordinates of the point), as was suggested. Then draw the triangle, as described, and figure out the reference triangle that this matches.

But you said that this didn't make any sense to you, so your book must be covering this content in a highly unusual manner. So please describe how your book has started similar exercises. Maybe then we can try to figure out whatever method your book is using, and help you step your way through that.

Thank you.

Eliz.
 
in our class we were talking about the unit circle which consists of all angles from zero to three hundred sixty with the sine cosine and tangent of each angle. usualy we were supposed to find the coterminal angle to say 60 degrees but now we are supposed to find the terminal of (-1, square root of -3) which is a point but it is also tangent of the angle 150 on that unit circle. so maybe i am lost beyond help?
 
Your answers are "-150° and +240°". I hereby apologize for previously having provided step-by-step instructions on how to arrive at the solutions. I would appreciate receiving no further obscenity-laden private messages.

Thank you for your consideration.

Eliz.
 
stapel said:
Your answers are "-150° and +240°". I hereby apologize for previously having provided step-by-step instructions on how to arrive at the solutions. I would appreciate receiving no further obscenity-laden private messages.

Thank you for your consideration.

Eliz.
Click to expand...

:shock: :shock: :shock: :shock: :shock: :shock: :shock:
 
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