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Match an Appropriate Value from the Right-Hand Column with Each sec⁡30∘\sec 30 ^ { \circ }

Question 16

Multiple Choice

Match an appropriate value from the right-hand column with each expression in the left-hand column.
a. sec⁡30∘\sec 30 ^ { \circ }
A. 3\sqrt { 3 }
b. csc⁡30∘\csc 30 ^ { \circ }
B. 2\sqrt { 2 }
c. csc⁡60∘\csc 60 ^ { \circ }
C. 23\frac { 2 } { \sqrt { 3 } }
d. sec⁡60∘\sec 60 ^ { \circ }
D. 22\frac { \sqrt { 2 } } { 2 }
E. 22
F. 12\frac { 1 } { 2 }


A) sec⁡30∘\sec 30 ^ { \circ } 3\sqrt { 3 } csc⁡30∘\csc 30 ^ { \circ } 2\sqrt { 2 } csc⁡60∘\csc 60 ^ { \circ } 12\frac { 1 } { 2 } sec⁡60∘\sec 60 ^ { \circ } 233\frac { 2 \sqrt { 3 } } { 3 }
B) sec⁡30∘3csc⁡30∘3csc⁡60∘233sec⁡60∘2\sec 30 ^ { \circ } \sqrt { 3 } \csc 30 ^ { \circ } \sqrt { 3 } \csc 60 ^ { \circ } \frac { 2 \sqrt { 3 } } { 3 } \sec 60 ^ { \circ } 2
C) Sec⁡30∘22csc⁡30∘2csc⁡60∘233sec⁡60∘2\operatorname { Sec } 30 ^ { \circ } \frac { \sqrt { 2 } } { 2 } \csc 30 ^ { \circ } 2 \csc 60 ^ { \circ } 2 \frac { \sqrt { 3 } } { 3 } \sec 60 ^ { \circ } 2
D) Sec⁡30∘22csc⁡30∘2csc⁡60∘22sec⁡60∘2\operatorname { Sec } 30 ^ { \circ } \frac { \sqrt { 2 } } { 2 } \csc 30 ^ { \circ } \quad \sqrt { 2 } \csc 60 ^ { \circ } \frac { \sqrt { 2 } } { 2 } \sec 60 ^ { \circ } \quad \sqrt { 2 }
E) Sec⁡30∘233csc⁡30∘2csc⁡60∘233sec⁡60∘2\operatorname { Sec } 30 ^ { \circ } \frac { 2 \sqrt { 3 } } { 3 } \csc 30 ^ { \circ } 2 \csc 60 ^ { \circ } \frac { 2 \sqrt { 3 } } { 3 } \sec 60 ^ { \circ } 2

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