SOLUTION: The terminal side of an angle passes through the given ordered pairs below. For each angle, find the values of the six trigonometric ratios. (2,-sqrt( 5 )) sin⁡θ =

Algebra ->  Pythagorean-theorem -> SOLUTION: The terminal side of an angle passes through the given ordered pairs below. For each angle, find the values of the six trigonometric ratios. (2,-sqrt( 5 )) sin⁡θ =      Log On


   

Question 1068024: The terminal side of an angle passes through the given ordered pairs below. For each angle, find the values of the six trigonometric ratios.
(2,-sqrt( 5 ))
sin⁡θ = ?
cosθ = ?
tanθ = ?
cscθ = ?
secθ = ?
cotθ = ?
Thanks!!
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The terminal side of an angle passes through the given ordered pairs below. For each angle, find the values of the six trigonometric ratios.
(2,-sqrt( 5 ))
Note:: That point is in QIV : x positive ; y negative
x = 2 ; y = -sqrt(5)
r = sqrt[2^2 + (sqrt(5))^2] = sqrt[4+5] = 3
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sin⁡θ = y/r = -sqrt(5)/3
cosθ = x/r = 2/3
tanθ = y/x = -sqrt(5)/2
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cscθ = r/y = 3/-sqrt(5) = (-3/5)sqrt(5)
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secθ = r/x = 3/2
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cotθ = x/y = 2/(-sqrt(5)) = -(2/5)sqrt(5)
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Cheers,
Stan H.
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