SOLUTION: Given Ө is an angle in standard position and its terminal side passes through the point(-3,2).
1)Draw a diagram that shows the angle in the coordinate axis.
2)Find the exac
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Question 582697: Given Ө is an angle in standard position and its terminal side passes through the point(-3,2).
1)Draw a diagram that shows the angle in the coordinate axis.
2)Find the exact values of SinӨ,cosӨ,tanӨ,secӨ,cscӨ, and cotӨ
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Given Ө is an angle in standard position and its terminal side passes through the point(-3,2).
1)Draw a diagram that shows the angle in the coordinate axis.
2)Find the exact values of SinӨ,cosӨ,tanӨ,secӨ,cscӨ, and cotӨ
-----
(-3,2) is in Q2
----
tan(theta) = y/x = -3/2
y = 3 and x = -2 in Q2
------------------------
Solve for "r":
r = sqrt(3^2+2^2) = sqrt(13)
-----------------------------------
sin = y/r = 2/sqrt(13)
cos = x/r = -2/sqrt(13)
tan = y/x = -3/2
-----
csc = r/y = sqrt(13)/3
sec = r/x = -sqrt(13)/2
ctn = x/y = -2/3
============================
Cheers,
Stan H.
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