Discover The Formula For Reciprocal Of Sin X As Cosecant X In Math

reciprocal sinx

1/cscx

Reciprocal of sine (sin) is cosecant (csc). Therefore, reciprocal of sinx is cscx.

Cosecant (csc) is the ratio of the length of the hypotenuse to the length of the opposite side of a right-angled triangle. In terms of the angle x, we have:

cscx = hypotenuse/opposite

cscx = 1/sinx

The above formula holds true for values of x where sinx is not equal to zero (i.e. x is not a multiple of 180 degrees).

To simplify, we can write cscx as:

cscx = (1/ sinx) * (sinx/sinx)

cscx = 1/ sinx

Hence, the reciprocal of sinx is cscx, and it is given by the formula cscx = 1/sinx.

More Answers:
Proving The Trigonometric Identity: Sin^2X + Cos^2X = 1 Using The Pythagorean Theorem
The Cotangent Function: How To Find The Reciprocal Of Tangent
Secant Function: Definition, Properties, And Range

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