Respuesta :
Using it's concept, it is found that the equivalent expression for the cotangent of angle theta is given by:
[tex]\cot{\theta} = \frac{1}{-\frac{3}{8}}[/tex]
What are the tangent and the cotangent of an angle?
The tangent is given by the division of the sine of the angle by the cosine of the angle, that is:
[tex]\tan{\theta} = \frac{\sin{\theta}}{\cos{\theta}}[/tex]
The cotangent is the inverse of the tangent, that is:
[tex]\cot{\theta} = \frac{1}{\tan{\theta}}[/tex]
In this problem, we have that the tangent is given by:
[tex]\tan{\theta} = -\frac{3}{8}[/tex]
Hence the equivalent expression for the cotangent is given by:
[tex]\cot{\theta} = \frac{1}{\tan{\theta}} = \frac{1}{-\frac{3}{8}}[/tex]
More can be learned about the cotangent of an angle at https://brainly.com/question/26403242
