Is sin(-30)=-sin(30) ?

The answer to whether sin(-30)=-sin(30) is True

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prove sin(-30)=-sin(30)

prove

sin (- 3 0^{\circ}) = - sin (3 0^{\circ})

True

Solution steps

sin (- 3 0^{\circ}) = - sin (3 0^{\circ})

Manipulating left side

sin (- 3 0^{\circ})

Use the negative angle identity:

sin (- x) = - sin (x)

= - sin (3 0^{\circ})

We showed that the two sides could take the same form

\Rightarrow True

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