Is sin(x)tan(x/2)=1-cos(x) ?

The answer to whether sin(x)tan(x/2)=1-cos(x) is True

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prove sin(x)tan(x/2)=1-cos(x)

prove

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

True

Solution steps

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

Let:

u = \frac{x}{2}

sin (2 u) tan (u) = 1 - cos (2 u)

Prove

sin (2 u) tan (u) = 1 - cos (2 u) :

True

Therefore

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

We showed that the two sides could take the same form

\Rightarrow True

cot (t) + \frac{sin ( t )}{1 + cos ( t )} = csc (t)

sin (π + θ) = - sin (θ)

\frac{tan ( x ) cot ( x )}{sin ( x )} = csc (x)

csc^{2} (\frac{θ}{2}) = \frac{2 sec ( θ )}{sec ( θ ) - 1}

csc^{2} (x) \cdot tan^{2} (x) - 1 = tan^{2} (x)

Is sin(x)tan(x/2)=1-cos(x) ?
The answer to whether sin(x)tan(x/2)=1-cos(x) is True