What is the correct definition for cot θ

Answers

I believe the answer is a

The correct answer is:

cot θ = (cos θ)/(sin θ).

Explanation:

We know that the tangent ratio is opposite/adjacent (O/A).

The ratio for sine is opposite/hypotenuse (O/H), and the ratio for cosine is adjacent/hypotenuse (A/H).

If we divide these two,

\frac{\text{O}}{\text{H}}\div \frac{\text{A}}{\text{H}} \\ \\=\frac{\text{O}}{\text{H}} \times \frac{\text{H}}{\text{A}}=\frac{\text{OH}}{\text{HA}} \\ \\=\frac{\text{O}}{\text{A}}

This is the same as the ratio for tangent, so we know that

tan θ = (sin θ)/(cos θ).

Since cot θ = 1/(tan θ), we now have

\cot \theta = \frac{1}{\frac{\sin \theta}{\cos \theta}} \\ \\=1 \div \frac{\sin \theta}{\cos \theta}=1 \times \frac{\cos \theta}{\sin \theta} \\ \\=\frac{\cos \theta}{\sin \theta}

The correct definition for cot theta is (cos theta)/(sin theta). Cotangent (in a right-angled triangle) the ratio of the side (other than the hypotenuse) adjacent to a particular acute angle to the side opposite the angle. I am hoping that this answer has satisfied your query and it will be able to help you in your endeavor, and if you would like, feel free to ask another question.

the answer's c

Step-by-step explanation:

Cot is the abbreviation of Cotangent. In mathematics, there are some functions called as the Trigonometric Functions, which used to relate the angles of a triangle to the lengths of the sides of a triangle.

C. cot theta = (cos theta)/(sin theta)

Step-by-step explanation:

Answer with explanation:

Out of six Trigonometric Ratios,that is ,sinθ,cosθ,tanθ,Cosecθ,tanθ, cotθ ,all are used for a right triangle.

For any right triangle

cot θ

     =\frac{\text{Base}}{\text{Perpendicular}}=\frac{1}{tan \Theta}

Answer with explanation:

Out of six Trigonometric Ratios,that is ,sinθ,cosθ,tanθ,Cosecθ,tanθ, cotθ ,all are used for a right triangle.

For any right triangle

cot θ

     =\frac{\text{Base}}{\text{Perpendicular}}=\frac{1}{tan \Theta}


What is the correct definition for cot θ


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