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10 grade maths

Find the sign of sin 300?

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10 Months agoGrade
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1 Answer

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ApprovedApproved Tutor Answer10 Months ago

The sine function, denoted as sin, is a periodic function that oscillates between -1 and 1. To determine the sign of sin 300 degrees, we first need to understand its position on the unit circle.

Location on the Unit Circle

300 degrees is located in the fourth quadrant of the unit circle. In this quadrant, the sine values are negative.

Calculating sin 300

To find sin 300 degrees, we can also relate it to a reference angle. The reference angle for 300 degrees is:

  • 360 degrees - 300 degrees = 60 degrees

Since sin 60 degrees is positive, we have:

  • sin 300 degrees = -sin 60 degrees

Final Result

Thus, the sign of sin 300 degrees is negative.

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