Respuesta :
The value of sec 205° is a negative value.
What is trigonometry?
Trigonometry is mainly concerned with specific functions of angles and their application to calculations. Trigonometry deals with the study of the relationship between the sides of a triangle (right-angled triangle) and its angles.
For the given situation,
The value of sec 205°.
In the coordinate system, ∠205° lies in the 3rd quadrant.
In third quadrant, only tanθ and cotθ are positive.
So, sec 205° is negative in third quadrant.
Hence we can conclude that the value of sec 205° is negative value.
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