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Determine Which of the Following Are Trigonometric Identities csc⁡(θ)sec⁡(θ)=tan⁡(θ)\csc ( \theta ) \sec ( \theta ) = \tan ( \theta )

Question 33

Multiple Choice

Determine which of the following are trigonometric identities.
I. csc⁡(θ) sec⁡(θ) =tan⁡(θ) \csc ( \theta ) \sec ( \theta ) = \tan ( \theta )
II. csc⁡(θ) tan⁡(θ) =sec⁡(θ) \csc ( \theta ) \tan ( \theta ) = \sec ( \theta )
III. tan⁡(θ) sec⁡(θ) =csc⁡(θ) \tan ( \theta ) \sec ( \theta ) = \csc ( \theta )
IV. csc⁡(θ) sin⁡(θ) =1\csc ( \theta ) \sin ( \theta ) = 1


A) II is the only identity.
B) II and IV are the only identities.
C) I, III, and IV are the only identities.
D) I is the only identity.
E) II, III, and IV are the only identities.

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