Question

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

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

sir

tai

25

CO

Answer 1

SinL = 7/25

CosL = 24/25

TanL = 7/24

Explanation:

Find the diagram attached.

Using SOH CAH TOA in trigonometry identity to find the sinL, cosL and TanL

Note that the hypotenuse is the longest side = 25

The opposite will be the side facing the acute angle L

Opposite = 7

Adjacent = 24

For SinL

sinL = Opposite/Hypotenuse {SOH}

SinL = 7/25

For cosL:

CosL = Adjacent/Hypotenuse{CAH}

CosL = 24/25

For tanL:

TanL = Opposite/Adjacent {TOA}

TanL = 7/24