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

Question 46

Multiple Choice

Determine which of the following are trigonometric identities.
I. sin⁡(θ) +cot⁡(θ) cos⁡(θ) =csc⁡(θ) \sin ( \theta ) + \cot ( \theta ) \cos ( \theta ) = \csc ( \theta )
II. cot⁡(θ) −sin⁡(θ) cos⁡(θ) =0\cot ( \theta ) - \sin ( \theta ) \cos ( \theta ) = 0
III. sin⁡(θ) +sin⁡(θ) cos⁡(θ) =csc⁡(θ) \sin ( \theta ) + \sin ( \theta ) \cos ( \theta ) = \csc ( \theta )


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

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