Question

c)sec 45° csc 45°
--------------------- =
tan 45°​

Answer 1

Respuesta:

es igual a 2

Explicación paso a paso:

$\cfrac{\sec45\csc45}{\tan45}&=\sec45\csc45\cot45\\&\\&=\left(\cfrac{1}{\cos45}\right)\left(\cfrac{1}{\text{sen}45}\right)\left(\cfrac{\cos45}{\text{sen}45}\right)\\&=\cfrac{1}{\left(\text{sen}45\right)^{2}}\\&=\cfrac{1}{\left(\text{sen}45\right)^{2}}=\cfrac{1}{\left(\cfrac{\sqrt{2}}{2}\right)^{2}}=\cfrac{1}{\frac{2}{4}}\\&=\cfrac{4}{2}=2$