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Could someone walk me through this problem? I'm not sure if I'm doing the right things. "Find the exact value of the remaining trig ratios for (theta) if cot(theta)= 4/7 Thanks!

 Aug 25, 2015

Best Answer 

 #1
avatar+128460 
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cot Θ = x/y = 4/7

tan Θ = y/x = 7/4

 

For the rest of the identities we need to find "r"....this is given by  √[x^2 + y^2]  =  √[4^2 + 7^2]  = √65

So

sin Θ  = y/r = 7/ √65    

cosec Θ  is the reciprocal of the sine = √65/7

 

cos Θ = x / r  = 4/ √65

sec Θ is the reciprocal of the cos = √65/4

 

 

 

 Aug 25, 2015
 #1
avatar+128460 
+5
Best Answer

cot Θ = x/y = 4/7

tan Θ = y/x = 7/4

 

For the rest of the identities we need to find "r"....this is given by  √[x^2 + y^2]  =  √[4^2 + 7^2]  = √65

So

sin Θ  = y/r = 7/ √65    

cosec Θ  is the reciprocal of the sine = √65/7

 

cos Θ = x / r  = 4/ √65

sec Θ is the reciprocal of the cos = √65/4

 

 

 

CPhill Aug 25, 2015

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