SOLUTION: ind the terminal point P(x, y) on the unit circle determined by the given value of t. t = − 3π/4? Find the terminal point P(x, y) on the unit circle determined by the g

Algebra ->  Trigonometry-basics -> SOLUTION: ind the terminal point P(x, y) on the unit circle determined by the given value of t. t = − 3π/4? Find the terminal point P(x, y) on the unit circle determined by the g      Log On


   



Question 918944: ind the terminal point P(x, y) on the unit circle determined by the given value of t. t = − 3π/4?
Find the terminal point P(x, y) on the unit circle determined by the given value of t.
t = −3π/4

P(x, y) = (?,?)

Answer by lwsshak3(11628) About Me  (Show Source):
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Find the terminal point P(x, y) on the unit circle determined by the given value of t. t = − 3π/4?
Find the terminal point P(x, y) on the unit circle determined by the given value of t.
t = −3π/4
P(x, y) = (?,?)
***
The reference angle of -3π/4 is π/4 in quadrant III where sin<0, cos<0, tan>0
tan(π/4)=x/y=1
y=x
In a unit circle:
x^2+y^2=1
x^2+x^2=1
2x^2=1
x^2=1/2
x=1/√2=-√2/2
y=-√2/2
P(x,y)=P(-√2/2,-√2/2)