If \(\left(x-\frac{1}{x}\right)=2\sqrt{2}\) , and x > 1, what is the value of \(\left(x^{6}-\frac{1}{x^{6}}\right)
\)
If \(\left(2y+\frac{2}{y}\right)=7\) , find the value of \(\left(y^{2}+\frac{1}{y^{2}}\right)\)
\(
\frac{41}{4}
\)
\(
\frac{45}{4}
\)
\(
\frac{49}{4}
\)
\(
\frac{49}{2}
\)
What is the value of sin(-405°)?
\(
\frac{\sqrt{5}}{2}
\)
\(
\frac{1}{2}
\)
\(
-\frac{1}{2}
\)
\(
-\frac{1}{\sqrt{2}}
\)