Plis ### Understanding and Calculating Cotangent in Right Triangles**Topic**: Precalculus - Finding Trigonometric Ratios Using Right Triangles (Lesson M.5, L6Y)---#### Objective:Find the cotangent of ∠H.---#### Diagram:The image shows a right triangle $ \triangle IHJ $ with:- side $ IJ = 16 $,- side $ IH = 20 $,- side $ JH = 12 $,- and a right angle at $ \angle J $.``` I |\ | \ 2016| \ | \ |____\ J 12 H```#### Instructions:Simplify your answer and write it as a proper fraction, improper fraction, or whole number.---#### Calculation:\[ \cot(H) = \frac{\text{Adjacent}}{\text{Opposite}} \]Using the triangle $ \triangle JIH $:- Adjacent to ∠H is $ JI = 16 $,- Opposite to ∠H is $ HJ = 12 $.\[ \cot(H) = \frac{16}{12} = \frac{4}{3} \]Thus, \[ \cot(H) = \frac{4}{3} \]---Please input the simplified cotangent value:\[ \cot(H) = \boxed{} \]---Click "Submit" once you have entered the value.### Submit---This content will help you understand how to find the cotangent of an angle in right triangles by using the ratios of the sides.

Given triangle is right angle triangle .

Answered: Find the cotangent of ZH. I 20 16 12…

Find the cotangent of ZH. I 20 16 12 Simplify your answer and write it as a proper fraction, improper fraction, or whole number. cot (H) =

Trigonometry (11th Edition)

11th Edition

ISBN:9780134217437

Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels

Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels

Chapter1: Trigonometric Functions

Section: Chapter Questions

Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.

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Confidence Intervals

When we calculate intervals in probability and statistics, it can be simply termed as finding out a confidence interval. The confidence interval is usually calculated from the data set which is observed. The value of the parameter that needs to be calculated is present here only.

Question

Plis

### Understanding and Calculating Cotangent in Right Triangles

**Topic**: Precalculus - Finding Trigonometric Ratios Using Right Triangles (Lesson M.5, L6Y)

---

#### Objective:
Find the cotangent of ∠H.

---

#### Diagram:

The image shows a right triangle $ \triangle IHJ $ with:
- side $ IJ = 16 $,
- side $ IH = 20 $,
- side $ JH = 12 $,
- and a right angle at $ \angle J $.

```
I
|\
| \ 20
16| \
| \
|____\
J 12 H
```

#### Instructions:
Simplify your answer and write it as a proper fraction, improper fraction, or whole number.

---

#### Calculation:

\[ \cot(H) = \frac{\text{Adjacent}}{\text{Opposite}} \]

Using the triangle $ \triangle JIH $:
- Adjacent to ∠H is $ JI = 16 $,
- Opposite to ∠H is $ HJ = 12 $.

\[ \cot(H) = \frac{16}{12} = \frac{4}{3} \]

Thus,

\[ \cot(H) = \frac{4}{3} \]

---

Please input the simplified cotangent value:

\[ \cot(H) = \boxed{} \]

---

Click "Submit" once you have entered the value.

### Submit

---

This content will help you understand how to find the cotangent of an angle in right triangles by using the ratios of the sides.

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