Question

A right triangle has side lengths 8,15, and 17 as shown below . Use these lengths to find sinL, tanL, and cosL

Answer 1

`\sf Sin \ L =(8)/(17) \\\\\\Tan \ L =(8)/(15)\\\\\\Cos \ L =(15)/(17)`

Explanation:

Trigonometry ratios:

`\sf Sin \ L = (opposite \ side \ of \angle L)/(hypotenuse)\\`

`\sf Sin \ L = (NM)/(LM)=(8)/(17)`

`\sf Tan \ L = (opposite \ side \ of \ \angle L)/(adjacent \ side \ of \ \angle L)`

`\sf Tan \ L =(NM)/(LN)=(8)/(15)`

`\sf Cos \ L =(adjacent \ side \ of \ \angle L)/(hypotenuse)`

`\sf Cos \ L =(LN)/(LM)=(15)/(17)`