Respuesta:
A = sec(x)
Respuesta D
Explicación paso a paso:
[tex]A = \frac{sec(x)csc(x) - cot(x)}{sen(x)} \\A = \frac{\frac{1}{cos(x)} * \frac{1}{sen(x)} - \frac{cos(x)}{sen(y)} }{sen(x)} \\A = \frac{\frac{1}{cos(x)sen(x)} - \frac{cos(x)}{sen(x)} }{sen(x)} \\A = \frac{\frac{1-cos^{2}(x) }{cos(x)sen(x)}}{sen(x)} \\A = \frac{\frac{sen^{2}(x) }{cos(x)sen(x)}}{sen(x)}\\A = \frac{\frac{sen(x)}{cos(x)}}{\frac{sen(x)}{1} }\\A = {\frac{sen(x)}{cos(x)sen(x)}}\\A = {\frac{1}{cos(x)}}\\A = sec(x)[/tex]
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Respuesta:
A = sec(x)
Respuesta D
Explicación paso a paso:
[tex]A = \frac{sec(x)csc(x) - cot(x)}{sen(x)} \\A = \frac{\frac{1}{cos(x)} * \frac{1}{sen(x)} - \frac{cos(x)}{sen(y)} }{sen(x)} \\A = \frac{\frac{1}{cos(x)sen(x)} - \frac{cos(x)}{sen(x)} }{sen(x)} \\A = \frac{\frac{1-cos^{2}(x) }{cos(x)sen(x)}}{sen(x)} \\A = \frac{\frac{sen^{2}(x) }{cos(x)sen(x)}}{sen(x)}\\A = \frac{\frac{sen(x)}{cos(x)}}{\frac{sen(x)}{1} }\\A = {\frac{sen(x)}{cos(x)sen(x)}}\\A = {\frac{1}{cos(x)}}\\A = sec(x)[/tex]