The Ultimate Guide To And Calculating The Cosecant (Csc) Function In Trigonometry

csc of theta

1/sin theta

The csc of an angle theta (written as csc(theta)) is the reciprocal of the sine of theta. In other words:

csc(theta) = 1 / sin(theta)

The sine of an angle is the ratio of the length of the opposite side to the length of the hypotenuse in a right triangle that contains the angle. If the length of the opposite side is represented by a and the length of the hypotenuse is represented by c, then the sine of the angle theta can be written as:

sin(theta) = a / c

Therefore, the csc(theta) of an angle can be written as:

csc(theta) = 1 / sin(theta) = c / a

In practical terms, finding the csc of an angle involves determining the length of the hypotenuse and the length of the opposite side in a right triangle that contains the angle, and then taking the reciprocal of the sine.

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