Question

Find a value of alpha in the interval ​[0degrees​, 90degrees​] that satisfies the given statement. Bold cot alphaequals1.5839747

Answer 1

Answer:

32.252 degrees

Step-by-step explanation:

We are given that an interval [0 degrees,90 degrees]

$cot\alpha=1.5839747$

We have to find the value of alpha in the given interval which satisfied the given statement.

$\frac{1}{tan\alpha}=1.5839747$

Using formula :$cot\theta=\frac{1}{tan\theta}$

$tan\alpha=\frac{1}{1.5839747}$

Taking tan inverse on both sides

$tan^{-1}tan\alpha=tan^{-1}(\frac{1}{1.5839747})$

$\alpha=tan^{-1}(0.631)$

$\alpha=32.252^{\circ}$

Hence, the value of alpha=32.252 degrees.