Question 918944
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) = (?,?)
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The reference angle of -3&#960;/4 is &#960;/4 in quadrant III where sin<0, cos<0, tan>0
tan(&#960;/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/&#8730;2=-&#8730;2/2
y=-&#8730;2/2
P(x,y)=P(-&#8730;2/2,-&#8730;2/2)