Question

If sin theta + cos theta =√2 what is tan theta + cot theta

Answer 1

is that answer ok 2 hi

Answer 2

given

$sin \theta + cos \theta = \sqrt{2} \\ \\ ( {sin \theta + cos \theta)}^{2} = 2 \\ \\ 1 + 2sin \theta cos \theta = 2 \\ \\ sin \theta \cos \theta = \frac{1}{2}$

Now

$tan \theta + cot \theta \\ \\ = \frac{1}{sin \theta cos \theta} \\ \\ = \frac{1}{ \frac{1}{2} } \\ \\ =2$