Question

Despeja en cada identidad la funcion que se pide​

Answer 1

Respuesta:

En el Paso a Paso

Explicación paso a paso:

a.- $sen^{2} \alpha + cos^{2} \alpha = 1\\sen^{2} \alpha = 1-cos^{2} \alpha \\sen \alpha = \sqrt{1-cos^{2} \alpha }$

b.- $sen^{2} \alpha + cos^{2} \alpha = 1\\cos^{2} \alpha = 1-sen^{2} \alpha \\cos \alpha = \sqrt{1-sen^{2} \alpha }$

c.- $Tan^{2} \alpha + 1 = sec^{2} \alpha \\Tan^{2} \alpha =Sec^{2} \alpha - 1\\Tan \alpha = \sqrt{Sec^{2} \alpha - 1}$

d.- $Tan^{2} \alpha + 1 = sec^{2} \alpha \\Sec^{2} \alpha =Tan^{2} \alpha + 1\\Sec \alpha = \sqrt{Tan^{2} \alpha + 1}$

e.- $1 + Cot^{2} \alpha = Cosec^{2} \alpha \\Cot^{2} \alpha =Cosec^{2} \alpha - 1\\Cot \alpha = \sqrt{Cosec^{2} \alpha - 1}$

f.- $1 + Cot^{2} \alpha = Cosec^{2} \alpha \\Cosec^{2} \alpha =Cot^{2} \alpha +1\\Cosec \alpha = \sqrt{Cot^{2} \alpha + 1}$