SOLUTION: assume that a is an angle in standard position whose terminal side contains the point (-2, 2 square root of 3) find the exact values of the functions

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Question 797485: assume that a is an angle in standard position whose terminal side contains the point (-2, 2 square root of 3) find the exact values of the functions
Answer by lwsshak3(11628) About Me  (Show Source):
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assume that a is an angle in standard position whose terminal side contains the point (-2, 2 square root of 3) find the exact values of the functions
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Reference angle is in quadrant II where cos<0 and sin>0
Hypotenuse of reference right triangle=√((-2)^2+(2√3)^2)=√(4+12)=√16=4
sin(a)=2√3/4=√3/2
cos(a)=-2/4=-1/2
tan(a)=sin/cos=(√3/2)/(-1/2)=-√3
csc(a)=2/√3=2√3/3
sec(a)=-2
cot(a)=-1/√3=-√3/3