# Do you have to have a right angled triangle to use trigonometry?

Table of Contents

## Do you have to have a right angled triangle to use trigonometry?

For Trigonometric functions to work you need a hypotenuse, which you can only get in right triangles. When you are dealing with triangles other than right triangles, the solution is to draw a perpendicular line to create right triangles.

**How is right triangle trigonometry used in real life?**

Trigonometry can be used to roof a house, to make the roof inclined ( in the case of single individual bungalows) and the height of the roof in buildings etc. It is used naval and aviation industries. It is used in cartography (creation of maps).

**What are the rules of Trigonometry?**

By using a right-angled triangle as a reference, the trigonometric functions and identities are derived:

- sin θ = Opposite Side/Hypotenuse.
- cos θ = Adjacent Side/Hypotenuse.
- tan θ = Opposite Side/Adjacent Side.
- sec θ = Hypotenuse/Adjacent Side.
- cosec θ = Hypotenuse/Opposite Side.
- cot θ = Adjacent Side/Opposite Side.

### Can trigonometry be used on any triangle?

So far, we’ve only dealt with right triangles, but trigonometry can be easily applied to non-right triangles because any non-right triangle can be divided by an altitude * into two right triangles.

**What is trigonometry used for in maths?**

Trigonometric functions are used in obtaining unknown angles and distances from known or measured angles in geometric figures. Trigonometry developed from a need to compute angles and distances in such fields as astronomy, mapmaking, surveying, and artillery range finding.

**What do you learn from trigonometry?**

Trigonometry

- Course summary.
- Right triangles & trigonometry.
- Trigonometric functions.
- Non-right triangles & trigonometry.
- Trigonometric equations and identities.

#### Is Pythagoras only for right triangles?

Pythagoras’ theorem only works for right-angled triangles, so you can use it to test whether a triangle has a right angle or not.

**How do you find the trigonometric functions of a right triangle?**

Given the side lengths of a right triangle, evaluate the six trigonometric functions of one of the acute angles. If needed, draw the right triangle and label the angle provided. Identify the angle, the adjacent side, the side opposite the angle, and the hypotenuse of the right triangle. Figure 6.

**What does trigonometry mean?**

Trigonometry is most simply associated with planar right-angle triangles (each of which is a two-dimensional triangle with one angle equal to 90 degrees).

## What are right angled triangles?

Right angled triangles are a special kind of triangles that follow the famous Pythagoras’ theorem from where all the fundamental formulas and concepts of trigonometry are derived. A triangle can be split into two different right-angled triangles by passing an array from a point perpendicular to the line opposite to that point.

**How is trigonometry used in engineering and surveying?**

This allows trigonometry to be easily applied to surveying, engineering, and navigation problems in which one of a right triangle’s acute angles and the length of a side are known and the lengths of the other sides are to be found. The fundamental trigonometric identity is sin^2 θ + cos^2 θ = 1, in which θ is an angle.