Practice problem
Let xxx satisfy sin(x)=2−2\sin(x) = \sqrt{2 - \sqrt{2}}sin(x)=2−2. What is tan(x)\tan(x)tan(x)?
(Hint: Use an identity to find cos(x)\cos(x)cos(x) first.)
222
2\sqrt{2}2
2\sqrt{\sqrt{2}}2
2−1\sqrt{\sqrt{2}-1}2−1
1−1−21 - \sqrt{1 - \sqrt{2}}1−1−2
2−2\sqrt{2} - \sqrt{\sqrt{2}}2−2
Type a concept, like “slope” or “photosynthesis”.