Question

Angle α is drawn on the unit circle in standard position. The terminal side of angle α intersects the unit circle at point (-0.292, 0.956). What is the approximate decimal value of tan(α)?

Answer 1

Using the unit circle, it is found that the approximate decimal value of tan(α) is given by -3.274.

What is the unit circle?

For an angle $\alpha$ the unit circle is a circle with radius 1 containing the following set of points: $(\cos{\alpha}, \sin{\alpha})$.

In this problem, we have point (-0.292, 0.956), hence $\cos{\alpha} = -0.292, \sin{\alpha} = 0.956$.

Applying the definition of the tangent, we have that:

$\tan{\alpha} = \frac{\sin{\alpha}}{\cos{\alpha}} = \frac{0.956}{-0.292} = -3.274$.

Hence the second option is correct.

More can be learned about the unit circle at https://brainly.com/question/16852127

Answer 2

The answer: -3.274.
Hope you got it right! :)