If \( \tan \theta\) + \( \cot \theta\) = \( 2\), then what is \( \sin \theta\)+\( \cos \theta\) equal to ?
Correct Answer: Description for Correct answer:
If\( \Large \theta = \frac{ \pi }{4} \), then
\( \Large tan \theta +cot \theta =2 \)
\( \Large sin \theta + cos \theta = sin \left(\frac{ \pi }{4}\right) + cos \left(\frac{ \pi }{4}\right) \)
\( \Large = \frac{1}{^{2}} + \frac{1}{^{2}} = \frac{2}{^{2}} = \sqrt{2}\)
Option c is correct
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