Suppose That $A B C$ Is a Right Triangle With $\angle C = 90 ^ { \circ }$

question 25

Multiple Choice

Suppose that $A B C$ is a right triangle with $\angle C = 90 ^ { \circ }$ . If $A C = 12$ and $B C = 6$ , find the quantities. $\cos A , \sin A , \tan A , \sec B , \csc B , \cot B$ .

• A) \(\cos A = \frac { 2 \sqrt { 5 } } { 5 }\) , \(\sec B = 5\) , \(\tan A = \frac { 1 } { 2 }\) , \(\sin A = \frac { \sqrt { 5 } } { 5 }\) , \(\csc B = \frac { 1 } { 5 }\) , \(\cot B = \frac { 1 } { 2 }\)
• B) \(\cos A = \frac { 2 \sqrt { 5 } } { 5 }\) , \(\sec B = \sqrt { 5 }\) , \(\tan A = 2\) , \(\sin A = \frac { \sqrt { 5 } } { 5 }\) , \(\csc B = \frac { \sqrt { 5 } } { 2 }\) , \(\cot B = \frac { 1 } { 2 }\)
• C) \(\cos A = \frac { 2 \sqrt { 5 } } { 5 }\) , \(\sec B = \frac { \sqrt { 5 } } { 2 }\) , \(\tan A = \frac { 1 } { 2 }\) , \(\sin A = \frac { \sqrt { 5 } } { 5 }\) , \(\csc B = \sqrt { 5 }\) , \(\cot B = 2\)
• D) \(\cos A = \frac { 2 \sqrt { 5 } } { 5 }\) , \(\sec B = \sqrt { 5 }\) , \(\tan A = \frac { 1 } { 2 }\) , \(\sin A = \frac { \sqrt { 5 } } { 5 }\) , \(\csc B = \frac { \sqrt { 5 } } { 2 }\) , \(\cot B = \frac { 1 } { 2 }\)
• E) \(\cos A = \frac { 2 \sqrt { 5 } } { 5 }\) , \(\sec B = \sqrt { 5 }\) , \(\tan A = \frac { 1 } { 2 }\) , \(\sin A = \frac { \sqrt { 5 } } { 5 }\) , \(\csc B = \frac { \sqrt { 5 } } { 2 }\) , \(\cot B = 2\)

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