2 tan(x)/(2)=(sin ^2 x+1-cos ^2 x)/((sin x)(1+cos x))

Name: 2 tan(x)/(2)=(sin ^2 x+1-cos ^2 x)/((sin x)(1+cos x))
Uploaded: 2024-11-25T02:11:19-08:00
Duration: 1 min 39 s
Channel: Numerade
Description: 2 tan(x)/(2)=(sin ^2 x+1-cos ^2 x)/((sin x)(1+cos x))

Question

Steven Clarke · Answer

Okay, I want to prove this identity. So we&#x27;ll start with the right hand side this time. RHS. Now

H M · Answer

Let&#x27;s solve this using u -substitution. I&#x27;ll let u equal tangent x. Then du is equal to secant s

Daniel Carr · Answer

So we&#x27;ll prove our identity here. We&#x27;re going to start by taking tangent of x and rewriting that

Steven Clarke · Answer

Okay, I want to prove this identity. So we&#x27;ll start with the right hand side this time. RHS. Now

Leslie Deeb · Answer

Let&#x27;s prove this identity. I&#x27;m going to work the left -hand side of it, and I&#x27;m going to get it

Question

\( 2 \tan \frac{x}{2}=\frac{\sin ^{2} x+1-\cos ^{2} x}{(\sin x)(1+\cos x)} \)

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