determine the value of theta to the nearest degree if cot(theta) = 2
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Answer:51
Step-by-step explanation:
Cot(theta)=2
theta=cot(inverse)(2)
theta=51
The value of θ is equal to 63°
Data;
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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