Question

value of tan inverse 1.5 ​

Answer 1

value of tan☝

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Answer 2

Use the protractor to find the angle $a°$

This will be the value of $tan^{-1}(1.5)$

Step-by-step explanation:

Given,

Value of $tan^{-1}(1.5)$

In $1^{st}$ quadrant, $tan\theta$ increases as $\theta$ increases.

$tan45°=1$and [tex]tan60°=1.732 [tex]

So,

$\theta$ lies between $45° and 60°$

$a=tan^{-1}(1.5)$

⇒$1.5=tan(a)$

Make a right-angled triangle:

• Draw a triangle’s base $x\ cm$ long.

• Draw it’s perpendicular $1.5\ cm$ on $x$

• Draw the hypotenuse of the triangle.

I have taken $x=1$. Any value of $x$ is valid. (Natural Numbers are preferred)

$Base=1\ cm$ and $Perpendicular=1.5\ cm$

The angle that Base & Hypotenuse will make will be $a°$

Now, use the protractor to find the angle $a°$

This will be the value of $tan^{-1}(1.5)$