Is csc(x)+cot(x)=cot(x/2) ?

The answer to whether csc(x)+cot(x)=cot(x/2) is True

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prove csc(x)+cot(x)=cot(x/2)

prove

csc (x) + cot (x) = cot (\frac{x}{2})

True

Solution steps

csc (x) + cot (x) = cot (\frac{x}{2})

Let:

u = \frac{x}{2}

csc (2 u) + cot (2 u) = cot (u)

Prove

csc (2 u) + cot (2 u) = cot (u) :

True

Therefore

csc (x) + cot (x) = cot (\frac{x}{2})

We showed that the two sides could take the same form

\Rightarrow True

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3 sin (9 π - x) = 3 sin (x)

sin^{2} (x) = sin (x) sin (x)

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

Is csc(x)+cot(x)=cot(x/2) ?
The answer to whether csc(x)+cot(x)=cot(x/2) is True