Note: Triangle may not be drawn to scale.

Suppose a=85\displaystyle {a}={85} and c=157\displaystyle {c}={157}.

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

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

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

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

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

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

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

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

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