If cos A = 12/13, then sin A =A) 5/13B) 5/12C) 12/13D) 13/5

1.	If cos A = 12/13, then sin A =A) 5/13B) 5/12C) 12/13D) 13/5
Answer» Correct option is: A) \(\frac{5}{13}\) We have cos A = \(\frac {12}{13}\) \(\therefore\) Sin A = \(\sqrt {1-cos^2A} = \sqrt {1- (\frac {12}{13})^2} \) \(= \sqrt {1- \frac {144}{169}} = \sqrt {\frac {25}{169}} = \frac 5{13}\) Correct option is: A) \(\frac{5}{13}\)

Answer»

Correct option is: A) \(\frac{5}{13}\)

We have cos A = \(\frac {12}{13}\)

\(\therefore\) Sin A = \(\sqrt {1-cos^2A} = \sqrt {1- (\frac {12}{13})^2} \)

\(= \sqrt {1- \frac {144}{169}} = \sqrt {\frac {25}{169}} = \frac 5{13}\)

Correct option is: A) \(\frac{5}{13}\)

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