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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

Relevance
  • DWRead
    Lv 7
    7 years ago
    Favorite 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.

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