If sin theta + cos theta = root2, then evaluate tan theta + cot theta

sin theta + cos theta = root2

Squaring both sides:

(sin theta + cos theta)^2  = 2

sin^2 theta + cos^2 theta + 2 sin theta cos theta = 2

1 + sin 2theta = 2

sin 2theta = 1

2 theta = 90

theta = 45

so tan theta + cot theta = 1 + 1

= 2

i am thinking c. sorry if im wrong .

step-by-step explanation:

both equations and proportions are better.