Question

How do you calculate `cot^-1 0.684`?

Answer 1

`55.6°`

Explanation:

If you are working with a calculator you will only have the Sin, Cos and Tan ratios. However, these can be used to calculate the other three ratios Cot, Sec and Cosec.

`Cot theta = 1/Tan theta " or " Tan theta = 1/Cot theta`

The question here is asking " What angle has a Cot value of 0.684?" This is read as ArcCot 0.684

Note: The `Cot^-1` does not mean `1/cot` !!!!!

First change the cot value that is given to a Tan value by finding its reciprocal

`0.684^-1 = 1/0.684 = 1.4620`

Now you have changed the question to `Tan^-1 1.4620`

On a calculator:
`"Press shift/alt/2nd F"`
`"Tan"`
`1.4620 " or ANS"`
`"="`

The angle is 55.6°