Right Triangle Trigonometry Review Worksheet (with Answer Key)

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What is the “Right Triangle Trigonometry Review Worksheet (with Answer Key)”?

The Right Triangle Trigonometry Review Worksheet (+ Answer Key) is a worksheet that discusses how to use the trigonometric functions. It also has a practice activity that students can answer to practice what they have learned in this lesson.

What are the trigonometric functions?

In mathematics, the trigonometric functions (also called circular functions, angle functions or goniometric functions) are real functions which relate an angle of a right-angled triangle to ratios of two side lengths.

How can the “Right Triangle Trigonometry Review Worksheet (with Answer Key)” help you?

The “Right Triangle Trigonometry Review Worksheet (+ Answer Key)” can help you learn about the trigonometric functions. It can help you remember them. This worksheet shows how you can remember them easily so that you would not have difficulty in answering problems related to the trigonometric functions.

Instructions on how to use the “Right Triangle Trigonometry Review Worksheet (with Answer Key)”

To use the “Right Triangle Trigonometry Review Worksheet (+ Answer Key)” you should go through the discussion on how to use the trigonometric functions. Afterwards, try to look at the examples and see how they are being used. There is also an explanation provided for each example. Lastly, try to answer the practice problems provided. You can check your answers using the answer key.

Conclusion

There are a lot of uses for the trigonometric functions that is why it is important for you to learn about them.

Right Triangle Trigonometry Review Worksheet (with Answer Key)

Right triangles have special properties that are important to determine trigonometric ratios, such as sine (sin), cosine (cos), tangent (tan), secant (sec), cosecant (csc), and cotangent (cot). Those ratios reflect the relationships between the opposite and adjacent angles of the right angle with the hypotenuse.

Example:


Explanation:

Use sin, since the angle with measurement is in a position where its opposite side is given and the hypotenuse is missing and then solve for r.

  1.    

Explanation: Use cos since the angle with measurement is in a position where its adjacent side is missing and the hypotenuse is given and then solve for adj.

  1.    

Explanation: Use tan since the angle with measurement is in a position where its opposite side is missing and the adjacent side is given and then solve for opp.

Try the following.

Solve for x.

  1. 3.
  2. 4.

Answer Key

  1. 68.94
  2. 1
  3. 57.45
  4. 26

You can download this worksheet here.

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