Prove the identity 12csc⁡2x=cos2xtan⁡x Choose the sequence of steps below that verifies the identity A) cos2xtan⁡x=cos2xsin⁡xcos⁡x=cos⁡xsin⁡x=sin⁡2x2=12csc⁡2x B) cos2xtan⁡x=cos2xcos⁡xsin⁡x=cos⁡xsin⁡x=sin⁡2x2=12csc⁡2x C) cos2xtan⁡x=cos2xcos⁡xsin⁡x=cos⁡xsin⁡x=2sin⁡2x=12csc⁡2x D) cos2xtan⁡x=cos2xsin⁡xcos⁡x=cos⁡xsin⁡x=2sin⁡2x=12csc⁡2x

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Falak Kinney

2021-09-02

Prove the identity

\frac{1}{2 \csc 2 x} = \cos^{2} x \tan x

Choose the sequence of steps below that verifies the identity
A)

\cos^{2} x \tan x = \cos^{2} x \frac{\sin x}{\cos x} = \cos x \sin x = \frac{\sin 2 x}{2} = \frac{1}{2 \csc 2 x}

\cos^{2} x \tan x = \cos^{2} x \frac{\cos x}{\sin x} = \cos x \sin x = \frac{\sin 2 x}{2} = \frac{1}{2 \csc 2 x}

\cos^{2} x \tan x = \cos^{2} x \frac{\cos x}{\sin x} = \cos x \sin x = 2 \sin 2 x = \frac{1}{2 \csc 2 x}

\cos^{2} x \tan x = \cos^{2} x \frac{\sin x}{\cos x} = \cos x \sin x = 2 \sin 2 x = \frac{1}{2 \csc 2 x}

Velsenw

Skilled2021-09-03Added 91 answers

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