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### Course: Trigonometry > Unit 1

Lesson 1: Ratios in right triangles- Getting ready for right triangles and trigonometry
- Hypotenuse, opposite, and adjacent
- Side ratios in right triangles as a function of the angles
- Using similarity to estimate ratio between side lengths
- Using right triangle ratios to approximate angle measure
- Use ratios in right triangles
- Right triangles & trigonometry: FAQ

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# Right triangles & trigonometry: FAQ

Frequently asked questions about right triangles & trigonometry

## What are the trigonometric ratios?

The ratios of the sides of a right triangle are called trigonometric ratios. Three common trigonometric ratios are the $A$ below:

**sine (sin)**,**cosine (cos)**, and**tangent (tan)**. These are defined for acute angleIn these definitions, the terms opposite, adjacent, and hypotenuse refer to the

*lengths*of the sides.Learn more with our Trigonometric ratios in right triangles video.

Practice with our Trigonometric ratios in right triangles exercise.

## Where are these topics used in the real world?

Trigonometry is used in a lot of different fields! Architects and engineers use trigonometry to design buildings and bridges. Surveyors use it to measure distances and angles. Astronomers use trigonometry to measure distances between stars and galaxies. In addition, carpenters, artists, and even athletes can use the principles of right triangle trigonometry in their work.

## What do we know about the sine and cosine of complementary angles?

Knowing the sine and cosine of complementary angles can be helpful when solving problems with right triangles. The sine of an angle is equal to the cosine of its complementary angle, and vice versa. So if we know the cosine of an angle, we can use that information to find the sine of its complementary angle, or vice versa.

Practice with our Relate ratios in right triangles exercise.

## How do we use the reciprocal trigonometric ratios?

The reciprocal trigonometric ratios are just the inverses of the regular trigonometric ratios: cosecant is the reciprocal of sine, secant is the reciprocal of cosine, and cotangent is the reciprocal of tangent. We can use them in the same way we use the regular trigonometric ratios, to solve for side lengths or angles in right triangles.

Practice with our Reciprocal trig ratios
exercise.

## What do we mean by modeling with right triangles?

We can use right triangles to model real-world situations. For example, we might use a right triangle to figure out the height of a building or the distance across a river. Modeling with right triangles can help us solve problems we wouldn't be able to solve otherwise.

Practice with our Right triangle trigonometry word problems
exercise.

## Want to join the conversation?

- i want to do ratios(2 votes)
- ?this doesnt make any sense(9 votes)
- LOOOOOOL nothing ever does, i suggest watching videos of people solving trigonometry questions, that helps a lot(22 votes)

- Who came up with the concept of trigonometry?(5 votes)
- Trigonometry is ancient. We have texts on trigonometry from 4000 years ago in Egypt, Babylon, and Kush.(19 votes)

- how do you do inverse function?(10 votes)
- I am a 7th grader is it possible to learn ??(7 votes)
- Im in 2nd grade so yeah(3 votes)

- What is the hypotenuse from ∠c's perspective?

Thanks in advance.(0 votes)- The hypotenuse of a right angle is simply that, the hypotenuse, regardless of any particular angles “perspective”. It is never (as I understand it) considered the “adjacent” or “opposite” side; it is only considered the “hypotenuse” side.(17 votes)

- how do you do inverse functions?(5 votes)
- I don't know the answers can you please tell me(3 votes)
- Say you have a triangle with angles x, y and z. Angle x is opposite the hypotenuse, therefore, 90 degrees. When doing a function (for example sine) for x, would the hypotenuse become the opposite? If so, then how do we calculate it.(3 votes)
- We do not use that method. Instead we keep expanding the angle y or z to make them nearly 90 and then the limit triangle can be used to find trigonometric ratios for 0 and 90. Hope this helps!!(1 vote)

- How do we know until the question is correct?(2 votes)