Question

(Mackenzie) na figura calcular o valor da Sec X

Answer 1

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$\sf PC^2=4\cdot6\\\sf PC=\sqrt{4\cdot6}\\\sf PC=2\sqrt{6}\\\sf sec(x)=\dfrac{hipotenusa}{cateto~adjacente}\\\sf sec(x)=\dfrac{6}{PC}\\\sf sec(x)=\dfrac{6}{2\sqrt{6}}\\\sf sec(x)=\dfrac{\diagdown\!\!\!6\sqrt{6}}{2\cdot\diagdown\!\!\!6}\\\huge\boxed{\boxed{\boxed{\boxed{\sf sec(x)=\dfrac{\sqrt{6}}{2}}}}}\blue{\checkmark}$