Question

Qual o valor de: sen ² 45° + cos ² 45° ? ​

Answer 1

Resposta:

= 1

Explicação passo-a-passo:

$\sin ^ { 2 } 45 ^ { \circ } + \cos ^ { 2 } 45 ^ { \circ } \\ \left(\frac{\sqrt{2}}{2}\right)^{2}+\left(\cos(45)\right)^{2} \\ \frac{\left(\sqrt{2}\right)^{2}}{2^{2}}+\left(\cos(45)\right)^{2} \\ \frac{\left(\sqrt{2}\right)^{2}}{2^{2}}+\left(\frac{\sqrt{2}}{2}\right)^{2} \\ \frac{\left(\sqrt{2}\right)^{2}}{2^{2}}+\frac{\left(\sqrt{2}\right)^{2}}{2^{2}} \\ 2\times \left(\frac{\left(\sqrt{2}\right)^{2}}{2^{2}}\right) \\ 2\times \left(\frac{2}{2^{2}}\right) \\ 2\times \left(\frac{2}{4}\right) \\ 2\times \left(\frac{1}{2}\right) \\ 1$

espero ter ajudado, bons estudos! :)