Use the Following Formation to Determine the Remaining Five Trigonometric $\sec B = - \frac { 9 } { 4 } , 180 ^ { \circ } < B < 270 ^ { \circ }$

question 8

Multiple Choice

Use the following formation to determine the remaining five trigonometric values. Rationalize any denominators that contain radicals. $\sec B = - \frac { 9 } { 4 } , 180 ^ { \circ } < B < 270 ^ { \circ }$

• A) \(\sin B = - \frac { 4 } { 9 } , \tan B = \frac { 4 \sqrt { 65 } } { 65 } , \csc B = - \frac { 9 \sqrt { 65 } } { 65 } , \cot B = \frac { \sqrt { 65 } } { 4 } , \cos B = - \frac { \sqrt { 65 } } { 9 }\)
• B) \(\sin B = - \frac { \sqrt { 65 } } { 9 } , \tan B = \frac { \sqrt { 65 } } { 4 } , \csc B = - \frac { 9 \sqrt { 65 } } { 65 } , \cot B = \frac { 4 \sqrt { 65 } } { 65 } , \cos B = - \frac { 4 } { 9 }\)
• C) \(\sin B = \frac { \sqrt { 65 } } { 9 } , \tan B = - \frac { \sqrt { 65 } } { 4 } , \csc B = \frac { 9 \sqrt { 65 } } { 65 } , \cot B = - \frac { 4 \sqrt { 65 } } { 65 } , \cos B = \frac { 4 } { 9 }\)
• D) \(\sin B = \frac { \sqrt { 65 } } { 9 } , \tan B = \frac { \sqrt { 65 } } { 4 } , \csc B = \frac { 9 \sqrt { 65 } } { 65 } , \cot B = \frac { 4 \sqrt { 65 } } { 65 } , \cos B = \frac { 4 } { 9 }\)
• E) \(\sin B = - \frac { \sqrt { 65 } } { 9 } , \tan B = - \frac { \sqrt { 65 } } { 4 } , \csc \theta = - \frac { 9 \sqrt { 65 } } { 65 } , \cot B = - \frac { 4 \sqrt { 65 } } { 65 } , \cos B = - \frac { 4 } { 9 }\)

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