Section 10.1 – Tangent Ratios

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 


Tangent Ratio

 

For a given acute angle  with a measure of θ°, the tangent of, or tan θ°, is the ratio of the length of the side opposite  to the length of the side adjacent to  in any right triangle.

OR

 

 

can also be written as tan A…

 

The tangent ratio is usually rounded to 4 decimal places (if possible)

 

Use the tan button on your calculator to find the ratio of a degree measure

Use the tan (inverse tangent) button on your calculator to find the degree measure of a ratio

 

Function and key

Given (input)

Want to find (output)

tangent tan

angle measure

tangent ratio

inverse tangent tan

ratio

angle measure

 

 

Find tan A – ratio or decimal (round if necessary)

Find measure  - use inverse tangent