SOLUTION: csc A = &#8722;5, 270° < A < 360° find the other five trigonometric functions

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Question 790380: csc A =
−5,
270° < A < 360° find the other five trigonometric functions

Answer by lwsshak3(11628) About Me  (Show Source):
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csc A =−5,
270° < A < 360° find the other five trigonometric functions
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Reference angle (A) is in quadrant IV where sin<0, cos>0, and tan<0
sin A=(1/csc A)=-1/5
cos A=√(1-sin^2(A))=√(1-1/25)=√(24/25)=√24/5
sec A=1/cos A=5/√24=5√24/24
tan A=sin/cos=-1/√24=-√24/24
cot A=1/tan A=-√24