Question

Encontre o valor de: cos de 510° +tg de 225°

Answer 1

Resposta:

$\frac{-\sqrt{3}+2 }{2}$ = 0,13397459...

Explicação passo a passo:

cos (510°) = cos (-30°) = $-\frac{\sqrt{3} }{2}$

tg (225°) = tg (45°) = 1

cos (510°) + tg (225°) = $-\frac{\sqrt{3} }{2}$ + 1 = $\frac{-\sqrt{3}+2 }{2}$ = 0,13397459...

Answer 2

Siga a resolução da questão

$\mathtt{ \cos\left( {510}^{\circ}\right) + \tan\left({225}^{\circ} \right)} \\ \\ \mathtt{ \cos\left({150}^{\circ} + {360}^{\circ}\right) + \tan \left( {225}^{\circ}\right)} \\ \\ \mathtt{ \cos\left({150}^{\circ} \right) + \tan\left({225}^{\circ} \right)} \\ \\ \mathtt{ - \frac{ \sqrt{3} }{2} + \tan\left( {225}^{\circ}\right) } \\ \\ \mathtt{ - \frac{ \sqrt{3} }{2} + \tan\left({45}^{\circ} + {180}^{\circ} \right) } \\ \\ \mathtt{ - \frac{ \sqrt{3} }{2} + \tan\left({45}^{\circ} \right) } \\ \\ \boxed{\mathtt{ - \frac{ \sqrt{3} }{2} + 1}}$

Resposta: $\boxed{\mathtt{ - \frac{ \sqrt{3} }{2} + 1 }}$

Att: José Armando