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.

Question

asked Jul 2, 2021 77.2k views

1 Answer

Dustin Graham · Answer 1 · 2021-07-07T21:51:57+0000

Answer:

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