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Verify the identity. cotangent x equals StartFraction 1 plus cosine 2 x Over sine 2 x EndFractioncot x= 1+cos2x sin2x Use the appropriate​ double-angle formulas to rewrite the numerator and denominator of the expression on the right. For the denominatordenominator​, use the​ double-angle formula that will produce only one term in the denominatordenominator when it is simplified.

Answer :

lublana

Answer with Step-by-step explanation:

We are given that

RHS

[tex]\frac{1+Cos2x}{Sin2x}[/tex]

We have to verify the identity.

We know that

[tex]1+Cos2x=2Cos^2 x[/tex]

[tex]Sin2x=2SinxCos x[/tex]

Using the formula

[tex]\frac{2Cos^2x}{2SinxCosx}[/tex]

[tex]\frac{Cosx}{Sinx}[/tex]

[tex]Cot x[/tex]

By using the formula

[tex]Cotx=\frac{Cosx}{Sinx}[/tex]

LHS=RHS

Hence, verified

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