reciprocal identity sinθ=
1/cscθ
cscθ
The reciprocal identity of sinθ is cscθ (cosecant theta).
Cosecant theta is defined as the ratio of the hypotenuse to the opposite side of a right triangle. Thus, it can also be written as 1/sinθ, which is the reciprocal of sinθ.
In other words, if sinθ is known, then cscθ can be found by taking the reciprocal of sinθ. For example, if sinθ = 0.5, then cscθ would be 2, since 1/0.5 = 2.
It is important to note that cosecant function is not defined for θ where sinθ is equal to zero, as division by zero is undefined.
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