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Evaluate the Expressions Using Reference Angles csc⁡(−840∘)\csc \left( - 840 ^ { \circ } \right)

Question 22

Multiple Choice

Evaluate the expressions using reference angles. csc⁡(−840∘) \csc \left( - 840 ^ { \circ } \right) cot⁡(−840∘) \cot \left( - 840 ^ { \circ } \right)


A) csc⁡(−840∘) =−223\csc \left( - 840 ^ { \circ } \right) = - \frac { 2 \sqrt { 2 } } { 3 } cot⁡(−840∘) =22\cot \left( - 840 ^ { \circ } \right) = \frac { \sqrt { 2 } } { 2 }
B) csc⁡(−840∘) =33\csc \left( - 840 ^ { \circ } \right) = \frac { \sqrt { 3 } } { 3 } cot⁡(−840∘) =33\cot \left( - 840 ^ { \circ } \right) = \frac { \sqrt { 3 } } { 3 }
C) csc⁡(−840∘) =−22\csc \left( - 840 ^ { \circ } \right) = - \frac { \sqrt { 2 } } { 2 } cot⁡(−840∘) =23\cot \left( - 840 ^ { \circ } \right) = \frac { \sqrt { 2 } } { 3 }
D) csc⁡(−840∘) =−13\csc \left( - 840 ^ { \circ } \right) = - \frac { 1 } { 3 } cot⁡(−840∘) =13\cot \left( - 840 ^ { \circ } \right) = \frac { 1 } { 3 }
E) csc⁡(−840∘) =−233\csc \left( - 840 ^ { \circ } \right) = - \frac { 2 \sqrt { 3 } } { 3 } cot⁡(−840∘) =33\cot \left( - 840 ^ { \circ } \right) = \frac { \sqrt { 3 } } { 3 }

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