Question

If $\sin \theta +\cos \theta =\sqrt{2}$ then evaluate $\tan \theta +\cot \theta$

• A. 1
• B. 2
• C. -1
• D. 0

Answer 1

The correct option is B 2

$\sin \theta +cos\theta =\sqrt{2}\Rightarrow \theta ={45}^o$

So, $\tan \theta +\cot \theta =\tan {45}^o+\cot {45}^o=1+1=2$