The Trigonometric functions over a unit circle
The below-given diagram of a unit circle clearly describes these coordinates. The coordinates y and x result as the outputs of the trigonometric functions denoted by f (t) where, f (t) = sin t & f(t)=cost, respectively. The 4 quadrants are given the marks – I, II, III, and IV.įor any t angle, we can mark its side’s intersection plus the unit circle with the help of its coordinates (x,y). The two-axis x and y is also divided into 4 quarters, known as the quadrants. The co-ordinated plane (plus the unit circle) is divided between the two axes which is axis x and the axis y and it’s centrally positioned at the origin.
“t” is the angle measured in radians, which forms length’s arc, expressed as ‘s’. Recalling that the unit circle is the circle which is centrally positioned at the origin of the circle having radius one. In this part, we’ll be redefining these functions in the context of the unit circle. With the use of the unit circle, you can easily define the sine, tangent, and cosine functions.
