Verified answer

Answer:

The value of cotθ is √2−1.

Step-by-step explanation:

here,

sin theta + cot theta = √2cos(90°-theta)

sin theta + cos theta = √2sin theta {since,cos(90°-theta)=sin theta}

dividing both sides by sin theta,

sin theta/sin theta + cos theta/sin theta = √2sin theta/sin theta

1+cot theta = √2

cot theta = √2-1