Respuesta:
[tex]E = csc\alpha[/tex]
Explicación paso a paso:
Multiplicamos en el numerador y denominador por (1-cosα)
[tex]E = \frac{(sen\alpha )(1-cos\alpha )}{(1+cos\alpha )(1-cos\alpha )} + cot\alpha \\E = \frac{(sen\alpha )(1-cos\alpha )}{1-(cos\alpha )^{2} } + cot\alpha\\E = \frac{(sen\alpha )(1-cos\alpha )}{(sen\alpha )^{2} } + cot\alpha\\E = \frac{(1-cos\alpha )}{(sen\alpha ) } + \frac{cos\alpha }{sen\alpha }\\E = \frac{1}{sen\alpha } \\E = csc\alpha[/tex]
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Respuesta:
[tex]E = csc\alpha[/tex]
Explicación paso a paso:
Multiplicamos en el numerador y denominador por (1-cosα)
[tex]E = \frac{(sen\alpha )(1-cos\alpha )}{(1+cos\alpha )(1-cos\alpha )} + cot\alpha \\E = \frac{(sen\alpha )(1-cos\alpha )}{1-(cos\alpha )^{2} } + cot\alpha\\E = \frac{(sen\alpha )(1-cos\alpha )}{(sen\alpha )^{2} } + cot\alpha\\E = \frac{(1-cos\alpha )}{(sen\alpha ) } + \frac{cos\alpha }{sen\alpha }\\E = \frac{1}{sen\alpha } \\E = csc\alpha[/tex]