SOLUTION: find the exact value of each of the remaining 6 trigonometric functions of theta sec=-11, tan(theta)>0

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Question 792023: find the exact value of each of the remaining 6 trigonometric functions of theta sec=-11, tan(theta)>0
Answer by lwsshak3(11628) About Me  (Show Source):
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find the exact value of each of the remaining 6 trigonometric functions of theta sec=-11, tan(theta)>0
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Given data shows reference angle is in quadrant III where cos<0, sin<0 and tan>0
sec=-11=1/cos
cos=-1/11
sin=-√(1-cos^2)=-√(1-(1/121))=-√(120/121)=-√120/11
tan=sin/cos=-√(120)/-1=√120
cot=1/√120=√(120)/120
csc=-11/√120=-11√120/120