Explain the difference between using the sine ratio to solve for a missing angle in a right triangle versus using the cosecant ratio.

see the explanation

Step-by-step explanation:

Let

X > the missing angle in a right triangle

a > the adjacent side to the angle X

b > the opposite side to the angle X

c > the hypotenuse o the right triangle (greater side)

we know that

The sine ratio of angle X is equal to divide the opposite side to angle X by the hypotenuse

so

The cosecant is the reciprocal of the sine

so

therefore

The cosecant ratio of angle X is equal to divide the hypotenuse by the opposite side to angle X

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