How do you calculate cot^-1 0.684?

Jul 4, 2016

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.

$C o t \theta = \frac{1}{T} a n \theta \text{ or } T a n \theta = \frac{1}{C} o t \theta$

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

Note: The $C o {t}^{-} 1$ does not mean $\frac{1}{\cot}$ !!!!!

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

${0.684}^{-} 1 = \frac{1}{0.684} = 1.4620$

Now you have changed the question to $T a {n}^{-} 1 1.4620$

On a calculator:
$\text{Press shift/alt/2nd F}$
$\text{Tan}$
$1.4620 \text{ or ANS}$
$\text{=}$

The angle is 55.6°