tex]...

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August 2021 1 11 Report

[tex] \frac{sin2 \alpha }{1-cos2 \alpha }* \frac{1-cos \alpha }{cos \alpha } [/tex]

Answers & Comments

mukus13

Verified answer

$1-cos2 \alpha =2sin^2 \alpha$

$sin2 \alpha =2sin \alpha *cos \alpha$

$\frac{sin2 \alpha }{1-cos2 \alpha } * \frac{1-cos \alpha }{cos \alpha } = \frac{2sin \alpha *cos \alpha }{2sin^2 \alpha } * \frac{1-cos \alpha }{cos \alpha }= \frac{cos \alpha }{sin \alpha }* \frac{1-cos \alpha }{cos \alpha }= \frac{1-cos \alpha }{sin \alpha }=$ $\frac{2sin^2 \frac{ \alpha }{2} }{2sin \frac{ \alpha }{2}*cos \frac{ \alpha }{2} }= \frac{sin \frac{ \alpha }{2} }{cos \frac{ \alpha }{2} } =tg \frac{ \alpha }{2}$

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