What is the value of sin(−300
∘
)?

We know that sin(−θ)=−sinθ.
Therefore:

sin(−300
∘
)=−sin(300
∘
)
Now, we can express 300
∘
as (360
∘
−60
∘
):

sin(300
∘
)=sin(360
∘
−60
∘
)
Since sin(360
∘
−θ)=−sinθ:

sin(300
∘
)=−sin(60
∘
)
Substituting this back into the expression:

sin(−300
∘
)=−(−sin(60
∘
))=sin(60
∘
)
We know that sin(60
∘
)=
2
3

​

​
.
Thus, the value is
2
3

​

​
.