If sine theta almost-equals negative 0.7660, which of the following represents an approximate value of tangent theta, for 180 degrees less-than-theta less-than 270 degrees? 0.7660 0.8392 1.1916 1.4198

Respuesta :

The value of the tangent when the angle is from 180 to 270 is 0.9392. Then the correct option is B.

What is trigonometry?

Trigonometry deals with the relationship between the sides and angles of a right-angle triangle.

If sine Θ almost equals negative 0.7660.

Then the angle will be

[tex]\theta = sin ^{-1} (-0.7660)\\\\\theta = -49.996^o[/tex]

The interval of the angle is from 180 degrees to 270 degrees. Then we have to add 270 degrees in the angle. Then the angle will be

[tex]\theta = -49.996^o + 270^o\\\\\theta = 220.0039^o[/tex]

Then the tangent of Θ will be given as

[tex]tan \theta = tan \ (220.0039^o) = 0.8392[/tex]

More about the trigonometry link is given below.

https://brainly.com/question/22698523

Answer:

C.     1.1916

Step-by-step explanation:

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