Understanding Right Triangle and Trigonometric Relationships

Estratto della scheda di revisione

Course Outline

  1. Angle measure in right triangle
  2. Sine of angle x
  3. Expressions equal to 1/3
  4. Cosine of x
  5. Cosine of shifted angles

1. Angle measure in right triangle

Key Concepts & Definitions

  • The degree measure of an angle in a right triangle is denoted as x.
  • In a right triangle, the measures of the two non-right angles sum to 90°.

Essential Points

  • The angle x is one of the non-right angles in a right triangle.
  • Since the triangle is right-angled, the other non-right angle measures 90° - x.
  • The sum of the two non-right angles always equals 90°.

Key Takeaway

In a right triangle, the non-right angles are complementary, meaning their measures add up to 90°, with one angle measure denoted as x.

2. Sine of angle x

Key Concepts & Definitions

  • Sine of angle x: Defined as the ratio of the length of the side opposite to x to the hypotenuse in a right triangle.
    (Source: "Sine of angle x is defined as the ratio of the length of the side opposite to x to the hypotenuse.")
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Anteprima del quiz

1. If in a right triangle, the measure of an angle x satisfies sin x = 1/3, which of the following expressions involving cosine is equal to 1/3?

2. What fundamental property characterizes the sine of angle x in a right triangle?

3. Which of the following best describes the meaning of the expression cos(90° - x) in relation to sin x?

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Anteprima delle flashcard

Right triangle — angle measure?

Non-right angles sum to 90°.

Sine of x — ratio?

Opposite over hypotenuse.

Expressions equal to 1/3?

cos(90° - x) equals 1/3.

Cosine of x — ratio?

Adjacent over hypotenuse.

Shifted angles — cosine?

Cos(90° - x) = sin x.

Complementary angles — sum?

Sum to 90° in right triangles.

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