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10 grade maths

How do you evaluate sin 360°.

Profile image of Aniket Singh
1 Year agoGrade
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1 Answer

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ApprovedApproved Tutor Answer1 Year ago

To evaluate sin 360°, it's important to understand the position of this angle on the unit circle.

Understanding the Unit Circle

The unit circle is a circle with a radius of 1 centered at the origin of a coordinate plane. Angles are measured from the positive x-axis, moving counterclockwise.

Position of 360°

An angle of 360° corresponds to a full rotation around the circle, bringing you back to the starting point on the positive x-axis.

Finding sin 360°

Since sin(θ) represents the y-coordinate of the point on the unit circle at angle θ, we can determine:

  • At 360°, the coordinates are (1, 0).
  • The y-coordinate is 0.
Final Result:

Therefore, sin 360° = 0.

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