If P (-1/sqrt(5), y) is on the unit circle such that y<0, find cot theta, where P is on the terminal side of the angle of theta radians.
OMG someone please put this is normal people terms and if by some miracle you can attach or describe the picture that would awesome too! What are the chances of someone responding to this on the 4th of July? lol but THANKS in advance!
OMG someone please put this is normal people terms and if by some miracle you can attach or describe the picture that would awesome too! What are the chances of someone responding to this on the 4th of July? lol but THANKS in advance!
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x^2 + y^2 = 1
(-1/sqrt(5))^2 + y^2 = 1
1/5 + y^2 = 1
y^2 = 4/5
y = +/- 2 / sqrt(5)
y < 0
y = -2/sqrt(5)
cot(t) => x / y
cot(t) = (-1/sqrt(5)) / (-2/sqrt(5))
cot(t) = (-1/sqrt(5)) * (-sqrt(5)/2)
cot(t) = 1/2
(-1/sqrt(5))^2 + y^2 = 1
1/5 + y^2 = 1
y^2 = 4/5
y = +/- 2 / sqrt(5)
y < 0
y = -2/sqrt(5)
cot(t) => x / y
cot(t) = (-1/sqrt(5)) / (-2/sqrt(5))
cot(t) = (-1/sqrt(5)) * (-sqrt(5)/2)
cot(t) = 1/2
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prthagoras theorem ---> y = -2/sqrt5
cot theta = 1/2
cot theta = 1/2