Question

Value of sin 120degree

Answer 1

As we all know the sine value of some angles such as : 30, 45, 60, 90, 180. But in degrees it's sin 120=(✓3)/2. There is a simple thumb rule for this. sin(90+x)=+cos x (since sin x is positive in second quadrant.)

Answer 2

The value of sin 120 degree is $\frac{\sqrt3}{2}$.

Step-by-step explanation:

Given:

Value of sin 120 degree

Solution:

From the trigonometric formulas,

As we know that, sin (90 + x) = cos  x

Then as peer the given,

Sin ( 90 + 30) = cos 30

cos 30 = $\frac{\sqrt3}{2}$

Therefore, the value of  sin 120 degree is $\frac{\sqrt3}{2}$.

To know more:

A chord of circle of radius 12cm subtends an angle of 120degree at the centre. Find the area of the corresponding segment of the circle.

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