Question

find the value of
sin 540​

Answer 1

sin(90×6+0°)

=sin 0°

=0

Answer 2

The value of the expression is $\sin 540 =0$

Step-by-step explanation:

Given : Expression $\sin 540$

To find : The value of the expression ?

Solution :

We can re-write 540 as 180+360

so, $\sin 540 = \sin (180 + 360)$

Applying trigonometric properties,

$\sin (360+\theta)=\sin \theta$

i.e. $\sin 540 = \sin (180)$

Now, $\sin 540 = \sin (90+90)$

We know, $\sin (90+\theta)=\sin \theta$

i.e. $\sin 540 = \sin (90)$

Using trigonometric values, $\sin (90)=0$

So, $\sin 540 =0$

Therefore, the value of the expression is $\sin 540 =0$

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