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Maths Exercices
The reciprocal trigonometric ratios: cosecant

It is said that there are six ratios possible for the lengths of the sides of a right triangle. You have learned about the sine (sin), cosine (cos), and tangent (tan) ratios. The three other trigonometric ratios are their reciprocals.

Cosecant (csc): is the reciprocal of sine, i.e. the ratio of the length of the hypotenuse to the length of the opposite side.

csc θ = _1_
= hyp

Find the value of cscB  

First find the length of the hypotenuse. Using the Pythagorean Theorem, or recognizing the Pythagorean Triple 5-12-13, the length of the hypotenuse is 13.

cscB = 13

Look at the following right triangle, where:
a = 3
b = 6
Find the cosecant of angle A

The cosecant of angle A is =
(round the solution to hundredths)