Answer : The correct option is, (A) 30°
Step-by-step explanation :
As we know that:
........(1)
According to trigonometric function,
.........(2)
By comparing 1 and 2, we can say that:
![\cos 30^o=\frac{\sqrt{3}}{2}=\frac{Base}{Hypotenuse}](/tpl/images/0384/8125/c31b4.png)
Now we have to determine the value of perpendicular by using Pythagoras theorem.
![(Hypotenus)^2=(Perpendicular)^2+(Base)^2](/tpl/images/0384/8125/cd844.png)
![(2)^2=(Perpendicular)^2+(\sqrt{3})^2](/tpl/images/0384/8125/65be6.png)
![4=(Perpendicular)^2+3](/tpl/images/0384/8125/3d386.png)
![(Perpendicular)^2=4-3](/tpl/images/0384/8125/ad21c.png)
![(Perpendicular)^2=1](/tpl/images/0384/8125/8f22a.png)
![Perpendicular=1](/tpl/images/0384/8125/8161b.png)
Now we have to determine the value of
.
According to trigonometric function,
![\sin \theta=\frac{Perpendicular}{Hypotenuse}](/tpl/images/0384/8125/b4224.png)
![\sin \theta=\frac{1}{2}](/tpl/images/0384/8125/a421b.png)
At ![\theta =30^o](/tpl/images/0384/8125/5132e.png)
![\sin 30^o=\frac{1}{2}](/tpl/images/0384/8125/f8cc4.png)
Hence, the value of
is ![30^o](/tpl/images/0384/8125/6064d.png)