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

Question 8

Multiple Choice

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


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

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