Note: Triangle may not be drawn to scale.

Suppose a=85\displaystyle {a}={85} and b=132\displaystyle {b}={132}.

Find an exact value (report answer as a fraction). You will need to determine the length of the missing side first.

sin⁡(A)=\displaystyle {\sin{{\left({A}\right)}}}=  

cos⁡(B)=\displaystyle {\cos{{\left({B}\right)}}}=  

tan⁡(A)=\displaystyle {\tan{{\left({A}\right)}}}=  

cot⁡(B)=\displaystyle {\cot{{\left({B}\right)}}}=  

sec⁡(A)=\displaystyle {\sec{{\left({A}\right)}}}=  

csc⁡(B)=\displaystyle {\csc{{\left({B}\right)}}}=  

Question for thought: What did you observe with each pair? And, geometrically, why was this the case?

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