Respuesta :

Answer:51

Step-by-step explanation:

Cot(theta)=2

theta=cot(inverse)(2)

theta=51

The value of θ is equal to 63°

Data;

  • cotθ = 2
  • θ = ?

Trigonometric Function

The trigonometric function of cotθ is the inverse of tanθ.

This can further be explained mathematically as

[tex]cot\theta = \frac{1}{tan\theta}\\cot \theta = \frac{cos\theta}{sin \theta}[/tex]

Let's substitute the value and solve for θ

[tex]cot \theta = \frac{1}{tan\theta} \\\frac{1}{tan \theta } = 2\\ \theta = tan^-^1 2\\\theta = 63^0[/tex]

The value of θ is equal to 63°

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