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Unit Circle, circular functions of a Point(only given value of x coordinate)?
Hi,
I am having trouble finishing this one last online homework problem. It is only allow me to enter (number, /, and radical sign) no decimals, 'y' are allowed to enter for this problem. I am having trouble getting the solution with only given buttons.
Here is the problem,
Suppose P(-2/5, y) is a point on the unit circle in the third quadrant. Let Q be the radian measure of the angle in standard position with P on the terminal side, so that Q is the circular coordinate of P. Evaluate all the circular functions of Q.
Sin(Q)=
Cos(Q)=
Tan(Q)=
CSC(Q)=
Sec(Q)=
Cot(Q)=
Thank you for your help. I will pick best answer quickly.
1 Answer
- DWReadLv 77 years agoFavorite Answer
(-2/5)² + y² = 1
y² = 1 - 4/25 = 21/25
√(21/25) = ± (√21)/5. Since P is in quadrant III, y ≤ 0, so y = -(√21)/5.
sin(Q) = y = -(√21)/5
cos(Q) = -2/5
You can get the rest from these two.