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Use the Following Information to Determine the Remaining Five Trigonometric cos⁡θ=−47,90∘<θ<180∘\cos \theta = - \frac { 4 } { 7 } , 90 ^ { \circ } < \theta < 180 ^ { \circ }

Question 1

Multiple Choice

Use the following information to determine the remaining five trigonometric values. Rationalize any denominators that contain radicals. cos⁡θ=−47,90∘<θ<180∘\cos \theta = - \frac { 4 } { 7 } , 90 ^ { \circ } < \theta < 180 ^ { \circ }


A) sin⁡θ=337,tan⁡θ=−334,csc⁡θ=73333,cot⁡θ=−43333,sec⁡θ=−74\sin \theta = \frac { \sqrt { 33 } } { 7 } , \tan \theta = - \frac { \sqrt { 33 } } { 4 } , \csc \theta = \frac { 7 \sqrt { 33 } } { 33 } , \cot \theta = - \frac { 4 \sqrt { 33 } } { 33 } , \sec \theta = - \frac { 7 } { 4 }
B) sin⁡θ=337,tan⁡θ=−334,csc⁡θ=73333,cot⁡θ=−43333,sec⁡θ=74\sin \theta = \frac { \sqrt { 33 } } { 7 } , \tan \theta = - \frac { \sqrt { 33 } } { 4 } , \csc \theta = \frac { 7 \sqrt { 33 } } { 33 } , \cot \theta = - \frac { 4 \sqrt { 33 } } { 33 } , \sec \theta = \frac { 7 } { 4 }
C) sin⁡θ=337,tan⁡θ=−334,csc⁡θ=−74,cot⁡θ=−43333,sec⁡θ=73333\sin \theta = \frac { \sqrt { 33 } } { 7 } , \tan \theta = - \frac { \sqrt { 33 } } { 4 } , \csc \theta = - \frac { 7 } { 4 } , \cot \theta = - \frac { 4 \sqrt { 33 } } { 33 } , \sec \theta = \frac { 7 \sqrt { 33 } } { 33 }
D) sin⁡θ=337,tan⁡θ=43333,csc⁡θ=−74,cot⁡θ=334,sec⁡θ=73333\sin \theta = \frac { \sqrt { 33 } } { 7 } , \tan \theta = \frac { 4 \sqrt { 33 } } { 33 } , \csc \theta = - \frac { 7 } { 4 } , \cot \theta = \frac { \sqrt { 33 } } { 4 } , \sec \theta = \frac { 7 \sqrt { 33 } } { 33 }
E) sin⁡θ=337,tan⁡θ=43333,csc⁡θ=73333,cot⁡θ=334,sec⁡θ=−74\sin \theta = \frac { \sqrt { 33 } } { 7 } , \tan \theta = \frac { 4 \sqrt { 33 } } { 33 } , \csc \theta = \frac { 7 \sqrt { 33 } } { 33 } , \cot \theta = \frac { \sqrt { 33 } } { 4 } , \sec \theta = - \frac { 7 } { 4 }

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