reciprocal identity cscθ=
1/sinθ
The reciprocal identity for cscθ is:
cscθ = 1/sinθ
This means that the cosecant of an angle θ is equal to the reciprocal of the sine of that angle. The cosecant is a trigonometric function that is defined as the ratio of the length of the hypotenuse of a right-angled triangle to the length of its opposite side (the side opposite to the angle being considered).
In practical terms, the reciprocal identity for cscθ is useful in solving trigonometric equations and manipulating trigonometric expressions. For example, if you are given an equation involving both cscθ and sinθ, you can use the reciprocal identity to express cscθ in terms of sinθ (or vice versa) and simplify the equation.
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