SOLUTION: find the exact values of the other trigonometric functions if tan = 5/3, x in quadrant 3

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Question 675053: find the exact values of the other trigonometric functions if tan = 5/3, x in quadrant 3
Answer by lwsshak3(11628) About Me  (Show Source):
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find the exact values of the other trigonometric functions if tan = 5/3, x in quadrant 3
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tan=5/3=opp side/adj side (in quadrant 3 where sin and cos <0, tan>0)
hypotenuse=√(5^2+3^2)=√(25+9)=√34
..
sin=-5/√34=-(5*√34)/34
cos=-4/√34=-(4*√34)/34
tan=5/3(given)
csc=-√34/5
sec=-√34/4
cot=3/5