Question

Find the value of sin (540-theta)

Answer 1

sin(3×180°-©)=-sin©.......

Answer 2

The value of the expression is $\sin(540-\theta)=\sin \theta$

Step-by-step explanation:

Given : Expression $\sin(540-\theta)$

To find : The value of the expression ?

Solution :

Using trigonometric identity,

$\sin(A-B)=\sin A\cos B-\cos A\sin B$

Here, A=540 and $B=\theta$

$\sin(540-\theta)=\sin 540\cos\theta-\cos 540\sin \theta$

Now using values,

$\sin 540 = \sin (180 + 360) = \sin 180 = 0$

$\cos 540 = \cos 180 = - 1$

Substitute the values,

$\sin(540-\theta)=(0)\cos\theta-(-1)\sin \theta$

$\sin(540-\theta)=\sin \theta$

Therefore, $\sin(540-\theta)=\sin \theta$

#Learn more

Tan(-theta)/sin(540+ theta)

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