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Question 1193905:  Given tan theta= -9/4, where 270 degrees is less or equal than theta and less or equal than 360 degrees 
a) state the other five trigonometric ratios as fractions. 
b) determine the value of theta to the nearest degree. 
 Answer by Alan3354(69443)      (Show Source): 
You can  put this solution on YOUR website! Given tan theta= -9/4, where 270 degrees is less or equal than theta and less or equal than 360 degrees 
tan(t) = -9/4, 270 <= t <=360 
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tan = y/x = -9/4 
In Q4, y = -9, x = 4 
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r = sqrt(x^2 + y^2) = sqrt(97) 
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a) state the other five trigonometric ratios as fractions. 
sin = y/r 
cos = x/r 
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cot = 1/tan 
sec = 1/cos 
csc = 1/sin 
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b) determine the value of theta to the nearest degree. 
Use a calculator. 
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