Use the Definitions (Not a Calculator) to Evaluate the Six $900 ^ { \circ }$

question 9

Multiple Choice

Use the definitions (not a calculator) to evaluate the six trigonometric functions of the angle. $900 ^ { \circ }$

• A) \(\begin{array} { l l l }
• \sin \left( 900 ^ { \circ } \right) = 1 & \tan \left( 900 ^ { \circ } \right) = 0 & \csc \left( 900 ^ { \circ } \right) = - 1 \\
• \cos \left( 900 ^ { \circ } \right) = 0 & \cot \left( 900 ^ { \circ } \right) \text { is undefined } & \sec \left( 900 ^ { \circ } \right) \text { is undefined }
• \end{array}\)
• B) \(\begin{array} { l l l }
• \sin \left( 900 ^ { \circ } \right) = - 1 & \tan \left( 900 ^ { \circ } \right) = 0 & \csc \left( 900 ^ { \circ } \right) = - 1 \\
• \cos \left( 900 ^ { \circ } \right) = 0 & \cot \left( 900 ^ { \circ } \right) \text { is undefined } & \sec \left( 900 ^ { \circ } \right) \text { is undefined }
• \end{array}\)
• C) \(\begin{array} { l l l }
• \sin \left( 900 ^ { \circ } \right) = 0 & \tan \left( 900 ^ { \circ } \right) = 0 & \csc \left( 900 ^ { \circ } \right) = 0 \\
• \cos \left( 900 ^ { \circ } \right) = - 1 & \cot \left( 900 ^ { \circ } \right) = - 1 & \sec \left( 900 ^ { \circ } \right) = - 1
• \end{array}\)
• D) \(\begin{array} { l l l }
• \sin \left( 900 ^ { \circ } \right) = 0 & \tan \left( 900 ^ { \circ } \right) = 0 & \csc \left( 900 ^ { \circ } \right) \text { is undefined } \\
• \cos \left( 900 ^ { \circ } \right) = - 1 & \cot \left( 900 ^ { \circ } \right) \text { is undefined } & \sec \left( 900 ^ { \circ } \right) = - 1
• \end{array}\)
• E) \(\begin{array} { l l l }
• \sin \left( 900 ^ { \circ } \right) = - 1 & \tan \left( 900 ^ { \circ } \right) \text { is undefined } & \csc \left( 900 ^ { \circ } \right) = - 1 \\
• \cos \left( 900 ^ { \circ } \right) = 0 & \cot \left( 900 ^ { \circ } \right) = 0 & \sec \left( 900 ^ { \circ } \right) \text { is undefined }
• \end{array}\)

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Definitions:

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A unit of volume for liquid measure in the United States, equal to 3.785 liters.

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A state of matter characterized by high compressibility and expansion to fill any container, often used as a fuel.

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Currency note of the United States valued at twenty dollars, featuring the portrait of President Andrew Jackson.

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