SOLUTION: Please check my answers for questions related to Unit Circle A. Find the missing coordinate of P, using the fact that P lies on the unit circle in the given quadrant. Quadrant

Algebra ->  Trigonometry-basics -> SOLUTION: Please check my answers for questions related to Unit Circle A. Find the missing coordinate of P, using the fact that P lies on the unit circle in the given quadrant. Quadrant      Log On


   



Question 918196: Please check my answers for questions related to Unit Circle
A. Find the missing coordinate of P, using the fact that P lies on the unit circle in the given quadrant.
Quadrant 2
Coordinates P(−3/4,?)
My answer (-3/4,7/4)

B. The point P is on the unit circle. Find P(x, y) from the given information.
The x-coordinate of P −2/5
P lies above the x-axis.
My answer: P(x, y) = (-2/5,21/5)

C. Find the terminal point P(x, y) on the unit circle determined by the given value of t.
t = −3π/4
My answer: P(x, y) = (-√2/2, -√2/2)

Found 2 solutions by stanbon, ewatrrr:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A. Find the missing coordinate of P, using the fact that P lies on the unit circle in the given quadrant.
Quadrant 2
Coordinates P(−3/4,?)
My answer (-3/4,7/4)
Correct answer:: (3/4)^2 + ?^2 = 1
(0.75 + ?^2 = 1
?^2 = 0.25
? = 0.5
==============================
B. The point P is on the unit circle. Find P(x, y) from the given information.
The x-coordinate of P −2/5
P lies above the x-axis.
My answer: P(x, y) = (-2/5,21/5)
Correct answer::
(2/5)^2 + y^2 = 1
y^2 = 1 - 4/25
y^2 = 21/25
y = sqrt(21)/5
=========================
C. Find the terminal point P(x, y) on the unit circle determined by the given value of t.
t = −3π/4 (in QII)
My answer: P(x, y) = (-√2/2, -√2/2)
Correct answer:: (-sqrt(2)/2, +sqrt(2)/2)
==================
Cheers,
Stan H.
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Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
Consider
A. (-3/4,√7/ 4)
B. P(x, y) = (-2/5,√21/ 5)
C. P(x, y) = (-√2/2, ±√2/2)
.