Question

A right triangle has side lenghts 7, 24, and 25 as shoen below. Use these lenghts to find cosY, tanY, and sinY

Answer 1

The sides of the right triangle are 7, 24, and 25.

It is important to know that the cosine function is equal to the ratio between the adjacent leg to Y and the hypothenuse.

`\cos Y=(7)/(25)`

The sine function is equal to the ratio between the opposite leg to Y and the hypothenuse.

`\sin Y=(24)/(25)`

The tangent function is the ratio between the opposite leg and the adjacent leg to Y.

`\tan Y=(24)/(7)`

Hence, cosY = 7/25, tanY = 24/7, and sinY = 24/25.