Question
Specify the measure of the angle in degrees for a rotation counterclockwise. Use the correct algebraic sign ( or ).
Specify the measure of the angle in degrees for a rotation counterclockwise. Use the correct algebraic sign ( or ).
Answers
Specify the measure of the angle in degrees for the given rotations, using the correct algebraic sign (+ or -). $$ \frac{7}{12} \text { rotation counterclockwise } $$
So in this question we are going to learn about the basics of angles. So they gave an angle is to buy a tape rotation in clockwise direction. We have to write the angle in degrees and we have to right whether the angle is positive or negative. So since the direction is clockwise direction, so the angle would be negative angle and the magnitude of the angle can be find out from the fact that one revolution, one complete revolution is equal to 3 60 degree. So do I clean revolution? What the equal due to buy three multiplied by the 60 degree and the D. Day is negative eight. So when you simplify this we get minus 2 40 degree. So the angle is minus 2 40 degrees and it is negative because the direction is clockwise direction. Hey
So in this question we are going to learn about the basics of angle. The given question is one by three rotation in global West direction. Right? We have to write this right the angle and dig this, and we have to specify whether it is positive or negative. So one thing we should be clear is that if the direction is clockwise then the angle is negative. If the direction is antique, look West then then the angle is positive, right? Since the direction is clockwise. So this represents a negative angle. The magnitude of the angle can be find out by the fact that one rotation completes taste extra degree. So one by three rotation would be completely one by three, multiplied by c 60. So this would be equal to minus 1 20 Davey. So this represents an angle of data minus 1 20 degree. Right.
So in this question we will understand the concept of angle sandwiches. We will see, we will uh convert the given rotations into degrees and with the correct algebraic sign whether whether it is positive when I integrate so in the given question we have five by nine rotation in Globe west direction. Mhm. So we should recall that when the direction is clock ways the angle is considered as negative angle late and also one rotation is equivalent to it's a six to do this. Therefore five by nine audition will be cool and to data equals two minus. Since the direction is clock with a negative sign will come five by nine, multiplied by 3 60 degrees. So data is equal to minus 200 degrees. Right? So in this way we can find the value of the angle which is minus 200 degrees. Right? Yeah.
So in this question we learn about the basic concept of angles and we will understand that how to represent the angles in the grease and with a correct algebraic sign, whether it is positive or negative light. So in discussion, the angle is seven by 12. Low addition encounter global West direction. So we should recall that the angle is positive or negative. It depends on the direction is clockwise or anti clockwise. Right? So if the direction is anti clockwise, yeah, then the angle would be positive angles. Yeah. Right. And one thing is that one revolution. All one notation is equal to 3 60 degree. Therefore seven by 12 rotation would be data equals to seven by 12 multiplied greatly sexually, which is a close to to 10 degrees. And the theater it would be positive because the direction is counterclockwise. Right? So the value of data is to 10 degrees. Okay.