SOLUTION: Find the values of the trigonometric functions of t from the given information. sec t = 2, sin t < 0 sin t = cos t = tan t = csc t = cot t = Thank you

Question 919804: Find the values of the trigonometric functions of t from the given information.
sec t = 2, sin t < 0
sin t =
cos t =
tan t =
csc t =
cot t =
Thank you
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Find the values of the trigonometric functions of t from the given information.
sec t = 2, sin t < 0
---------------
sec positive and sin negative means t is in QIV where x is pos and y is neg
------
By definition sec = r/x
Since sec = 2, r = 2 and x = 1
Then y = -sqrt[2^2-1] = -sqrt(3)
------
sin = y/r = -sqrt(3)/2
cos = x/r = 1/2
tan = y/x = -sqrt(3)/1 = -sqrt(3)
-------------
csc = -2/sqrt(3)
sec = 2
cot = -1/sqrt(3)
==========================
Cheers,
Stan H.
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