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

Question 18

Multiple Choice

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


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

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