If \( \tan \theta\) + \( \cot \theta\) = \( 2\), then what is \( \sin \theta\)+\( \cos \theta\) equal to ?


A) \( \Large \frac{1}{2} \)

B) \( \Large \frac{1}{\sqrt{3}} \)

C) \(\sqrt{2} \)

D) 1

Correct Answer:
C) \(\sqrt{2} \)

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

Part of solved CDS Maths(1) questions and answers : Exams >> CDSE >> CDS Maths(1)








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