Trigonometry Question

 

The hypotenuse of a right isosceles traingle is 6 cm long. Write an exact expression for Sin X, Cos X, and Tan X. (X = angle)  

 

Since it's a right isosceles triangle, each leg is (6 / sqrt(2))  =  (6 • sqrt(2)) / 2   =   3sqrt(2)  

 

sin = opp / hyp  =  (3sqrt(2) / 6)  =  (sqrt(2) / 2)  =  0.7071  

 

cos = adj / hyp  =  (3sqrt(2) / 6)  =  (sqrt(2) / 2)  =  0.7071  

 

tan = opp / adj  =  3sqrt(2) / 3sqrt(2)  =  1.0000  

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