Question

Pls answer this question correctly with explaination​

Answer 1

Answer:

OPTION C IS CORRECT

Step-by-step explanation:

$\sqrt{1 + 2 \sin( \alpha ) \cos( \alpha ) } = \sqrt{ { \sin( \alpha ) }^{2} + { \cos( \alpha ) + 2 \sin( \alpha ) }^{2} \cos( \alpha ) } \\ \\ = \sqrt{ {( \sin( \alpha ) + \cos( \alpha )) }^{2} } \\ \\ = | \sin( \alpha ) + \cos( \alpha ) | \\ \\ = \cos( \alpha ) + \sin( \alpha ) \: \: as \: \alpha \: is \: acute \: angle. \\ \\ option \: (c) \: is \: correct.$