The value of the trigonometric function.
[tex]sin(-1035^\circ)=0.7071[/tex]
To calculate a trigonometric ratio for a negative angle, we need to take note of the following while trying to find the reference angle:
- If the absolute value of the negative angle is less than [tex]360^\circ[/tex], add the angle to [tex]360^\circ[/tex] to get the reference angle.
- In our case, the absolute value of the reference angle is greater than [tex]360^\circ[/tex]. So to get the reference angle, we divide by [tex]360^\circ[/tex] to get a negative remainder, then add [tex]360^\circ[/tex] to the remainder to get the reference angle
That is,
[tex]\dfrac{-1035}{360}=-315\\\\-315+360=45[/tex]
Therefore
[tex]sin(-1035^\circ)=sin(45^\circ)=0.7071[/tex]
Learn more about negative angles here https://brainly.com/question/12317451
