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Trigonometric Functions in a Unit Circle | Trigonometric Functions | JEE Concept

Trigonometric Functions in a Unit Circle | Trigonometric Functions | JEE Concept In this video, we talk about trigonometric functions for angles greater than 90 degrees and less than 0 degrees using the concept of a unit circle on the cartesian plane. A unit circle is a circle, centred at the origin with radius 1 unit which can also be divided into 360 parts creating 360-degree measurements. The x- and y-axes divide the cartesian plane into four quadrants, such that the value of x-coordinate is positive in the first and the fourth quadrant and that of the y-coordinate is positive in the first and the second quadrant. We consider a point on the unit circle which moves in the counter-clockwise direction. The angle formed by P is less than 90 degrees in the first quadrant, between 90 and 180 in the second quadrant, between 180 and 270 in the third quadrant and between 270 and 360 in the fourth quadrant. For a point P moving in the clockwise direction, the angle is considered negative. For point P, as we draw a perpendicular from P to the x-axis, we get a right-angled triangle. The distance from the x-axis and that from the y-axis is calculated using the projection of the line joining the origin and the point P on the x-axis and the y-axis respectively. Based on these values and the sign convention for these quadrants, we find the trigonometric ratios from the right-angled triangle thus formed.

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