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The point (-3,5) ​ lies on the terminal arm of angle ​theta in standard position. Determine the trigonometric ratios for theta ​. Leave values in simplified radical form where necessary.

 Jul 19, 2022
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r = sqrt [ (- 3 )^2 + 5^2 ]  =  sqrt [ 34]

 

sin   = y/ r =  5/sqrt (34) =    (5/34)sqrt (34)

csc  = r/ y =   sqrt (34) / 5

 

cos =x / r =  -3/sqrt (34)  =   (-3/34) sqrt (34)

sec = r / x =  -sqrt (34) / 3

 

tan  =  y/ x =  5/-3 =  -5/3

cot =  x /y =  -3/5

 

 

 

 

cool cool cool

 Jul 19, 2022
edited by CPhill  Jul 19, 2022

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