Use the Definitions (Not a Calculator) to Evaluate the Six $- 360 ^ { \circ }$

question 8

Multiple Choice

Use the definitions (not a calculator) to evaluate the six trigonometric functions of the given angle: $- 360 ^ { \circ }$

• A) \(\sin \left( - 360 ^ { \circ } \right) = 0\) , \(\cos \left( - 360 ^ { \circ } \right) = 1\) , \(\tan \left( - 360 ^ { \circ } \right) = 0\) , \(\sec \left( - 360 ^ { \circ } \right) = 1\) , \(\csc \left( - 360 ^ { \circ } \right)\) is undefined, \(\cot \left( - 360 ^ { \circ } \right)\) is undefined.
• B) \(\sin \left( - 360 ^ { \circ } \right) = 0\) , \(\cos \left( - 360 ^ { \circ } \right) = 1\) , \(\tan \left( - 360 ^ { \circ } \right)\) is undefined, \(\sec \left( - 360 ^ { \circ } \right)\) is undefined. \[\csc \left( - 360 ^ { \circ } \right) = 0\] , \[\cot \left( - 360 ^ { \circ } \right) = 1\] .
• C) \(\sin \left( - 360 ^ { \circ } \right) = 0\) , \(\cos \left( - 360 ^ { \circ } \right) = - 1\) , \(\tan \left( - 360 ^ { \circ } \right) = 0\) , \(\sec \left( - 360 ^ { \circ } \right) = - 1\) , \(\csc \left( - 360 ^ { \circ } \right)\) is undefined, \(\cot \left( - 360 ^ { \circ } \right)\) is undefined.
• D) \(\sin \left( - 360 ^ { \circ } \right) = 1\) , \(\cos \left( - 360 ^ { \circ } \right) = 1\) , \(\tan \left( - 360 ^ { \circ } \right)\) is undefined, \(\sec \left( - 360 ^ { \circ } \right)\) is undefined. \(\csc \left( - 360 ^ { \circ } \right) = 0\) , \(\cot \left( - 360 ^ { \circ } \right) = 0\) .
• E) \(\sin \left( - 360 ^ { \circ } \right) = 1\) , \(\cos \left( - 360 ^ { \circ } \right) = - 1\) , \(\tan \left( - 360 ^ { \circ } \right) = 1\) , \(\sec \left( - 360 ^ { \circ } \right) = - 1\) , \(\csc \left( - 360 ^ { \circ } \right)\) is undefined, \(\cot \left( - 360 ^ { \circ } \right)\) is undefined.

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Definitions:

Organism's

Refers to any individual living entity, from single-celled microorganisms to plants and animals, including humans.

Observable Characteristics

Traits or features that can be seen or measured directly.

Phenotype

The set of observable characteristics of an individual resulting from the interaction of its genotype with the environment.

Genotype

The genetic makeup of an organism, determining inherited traits.