2 Answers

Tarak · Answer 1 · 2020-03-13T10:34:46+0000

Answer : The correct option is, (A) 30°

Step-by-step explanation :

As we know that:

$\cos 30^o=(√(3))/(2)$ ........(1)

According to trigonometric function,

$\cos \theta=(Base)/(Hypotenuse)$ .........(2)

By comparing 1 and 2, we can say that:

$\cos 30^o=(√(3))/(2)=(Base)/(Hypotenuse)$

Now we have to determine the value of perpendicular by using Pythagoras theorem.

(Hypotenus)^2=(Perpendicular)^2+(Base)^2

(2)^2=(Perpendicular)^2+(√(3))^2

4=(Perpendicular)^2+3

(Perpendicular)^2=4-3

(Perpendicular)^2=1

Perpendicular=1

Now we have to determine the value of
$\sin \theta$ .

According to trigonometric function,

$\sin \theta=(Perpendicular)/(Hypotenuse)$

$\sin \theta=(1)/(2)$

At
$\theta =30^o$

$\sin 30^o=(1)/(2)$

Hence, the value of
$\theta$ is

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