Question

2 sin theta= √3 cos20+ sin20=


a. 20

b. 100

c. 260

d. 460

Answer 1

Eshitaaaaaaaaa !

$2 \sin\theta = \sqrt{3} \cos20 + \sin20$

$= > \sin\theta = \frac{ \sqrt{3} }{2} \cos20 + \frac{1}{2} \sin20$

$= > \sin\theta = \sin60 \cos20 + \cos60 \sin20$

$= > \sin\theta = \sin(60 + 20) = \sin80$

$= > \sin(180 - \theta) = \sin80$

$= > \theta = {100}^{o}$

And your answer is B ) 100