Question

A right triangle has side lengths 7, 24, and 25 as shown below.

Use these lengths to find sin Y, tan Y, and cos Y.

Answer 1

Sin Y = 7/25

Cos Y = 24/25

Tan Y = 7/24

Explanation:

Using SOH CAH TOA in trigonometry identity to find the sin Y, cos Y and Tan Y

Note that the hypotenuse is the longest side = 25

The opposite will be the side facing the acute angle Y

Opposite = 7

Adjacent = 24

For Sin Y

`\sin =(Opposite)/(Hypotenuse)`

Sin Y = 7/25

For cos Y:

`\cos Y = (Adjacent)/(Hypotenuse)`

Cos Y = 24/25

For tan Y:

`\tan Y = (Opposite)/(Adjacent )`

Tan Y = 7/24

THEREFORE

Sin Y = 7/25

Cos Y = 24/25

Tan Y = 7/24