Is sin(-θ)=-sin(θ) ?

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

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prove sin(-θ)=-sin(θ)

prove

sin (- θ) = - sin (θ)

True

Solution steps

sin (- θ) = - sin (θ)

Manipulating left side

sin (- θ)

Use the negative angle identity:

sin (- x) = - sin (x)

= - sin (θ)

We showed that the two sides could take the same form

\Rightarrow True

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