Question

Calcular:
dado cos x=$\frac{ \sqrt{3} }{2}$ , calcular sex x

Answer 1

$Para:\\\\ \cos\ x=\dfrac{\sqrt{3}}{2},\ \ \ x=30^o\ \ \ (tabela\ trigonom\'etrica)\\\\\\\\ Secante\ \'e\ a\ fun\c{c}\~ao\ inversa\ do\ cosseno:\\\\\\ \sec 30^o=\dfrac{1}{\cos 30^o}=\dfrac{2}{\sqrt{3}}\\\\\\ \sec 30^o=\dfrac{2}{\sqrt{3}}\times\dfrac{\sqrt{3}}{\sqrt{3}}\\\\\\ \sec 30^o=\dfrac{2 \times \sqrt{3}}{\sqrt{3} \times \sqrt{3}}\\\\\\ \sec 30^o=\dfrac{2\sqrt{3}}{\sqrt{3 \times 3}}\\\\\\ \sec 30^o=\dfrac{2\sqrt{3}}{\not\sqrt{3^{\not2}}}\\\\\\ \Large\boxed{\sec 30^o=\dfrac{2\sqrt{3}}{3}}$


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