Use the image below to answer the following question. Find the value of sin x® and cos yº What relationship do the ratios of sin x® and cos yº share?

sin(x) and cos(y) are equal and have ratio of 1 : 1

First find the missing hypotenuse using Pythagoras theorem:

a² + b² = c²

12² + 5² = c²

c = √144+25

c = 13

using sine rule:

using cosine rule:

As, we are given a right angled triangle with two sides 12 and 5, we can find the third side using Pythagoras theorem ,i.e,

Using trigonometric identities:

For sin x , we have ,

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For cos y , we have ,