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OLEGan [10]
3 years ago
9

Find the value of tan θ for the angle shown. A line is drawn from the origin through the point square root of thirty-three comma

negative four. The angle theta is given as the measurement from the positive x axis counterclockwise to the line.

Mathematics
2 answers:
Bogdan [553]3 years ago
8 0
If you draw this triangle on a graph as described, tan theta is -4(square root)33/33

GaryK [48]3 years ago
4 0
<h2>Answer:</h2>

The value of tan θ is:

             \tan \theta=-\dfrac{4}{\sqrt{33}}

<h2>Step-by-step explanation:</h2>

From the given right angled triangle we have:

          Base of the triangle i.e. OA is: √33 units

and Perpendicular length of triangle  i.e. AB is: 4 units

Hence, in the given right angled triangle we will use the trignometric ratio corresponding to the angle (360°-θ) as:

\tan (360-\theta)=\dfrac{perpendicular}{base}\\\\\\\tan (360-\theta)=\dfrac{4}{\sqrt{33}}

As we know that:

\tan (360-\theta)=-\tan \theta

Hence,

-\tan \theta=\dfrac{4}{\sqrt{33}}\\\\\\i.e.\\\\\\\tan \theta=-\dfrac{4}{\sqrt{33}}

                     Hence, the answer is:

               \tan \theta=-\dfrac{4}{\sqrt{33}}

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