Question

if tan theta + cot theta = 2 , then sin theta + cos theta = ?
A. √5
B. 2
C. √3
D. √2
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Answer 1

Answer:

options b is a right answers

Answer 2

given

$tan \theta + cot \theta = 2 \\ \\ \frac{sin \theta}{cos \theta} + \frac{cos \theta}{sin \theta} = 2 \\ \\ \frac{ {sin}^{2} \theta + {cos}^{2} \theta}{sin \theta cos \theta} = 2 \\ \\ \frac{1}{sin \theta cos \theta} = 2 \\ \\ sin \theta cos \theta = \frac{1}{2}$