SOLUTION: Angle K is located in the third quadrant with a sectant of -6. Find the exact expressions for the other 5 trig ratios for Angle K.
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Question 1011944: Angle K is located in the third quadrant with a sectant of -6. Find the exact expressions for the other 5 trig ratios for Angle K. Answer by Boreal(15235) (Show Source):
You can put this solution on YOUR website! The secant is -6 and the cosine is -1/6.
That is a right triangle of sides 1 and sqrt(35), whose sum of each squared is 36.
Therefore, the sine is -sqrt(35)/36
The cosecant is -36/sqrt(35)
The tangent is sin x/cos x = -sqrt (35)/36/-(1/6)=sqrt (35)/6
The cotangent is 6 sqrt(35)/35, after rationalizing.
