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# 8.6: Sine, Cosine, Tangent

Difficulty Level: At Grade Created by: CK-12
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### Vocabulary Language: English

Acute Angle

An acute angle is an angle with a measure of less than 90 degrees.

Two angles are adjacent if they share a side and vertex. The word 'adjacent' means 'beside' or 'next-to'.

Hypotenuse

The hypotenuse of a right triangle is the longest side of the right triangle. It is across from the right angle.

Legs of a Right Triangle

The legs of a right triangle are the two shorter sides of the right triangle. Legs are adjacent to the right angle.

opposite

The opposite of a number $x$ is $-x$. A number and its opposite always sum to zero.

Pythagorean Theorem

The Pythagorean Theorem is a mathematical relationship between the sides of a right triangle, given by $a^2 + b^2 = c^2$, where $a$ and $b$ are legs of the triangle and $c$ is the hypotenuse of the triangle.

The $\sqrt{}$, or square root, sign.

sine

The sine of an angle in a right triangle is a value found by dividing the length of the side opposite the given angle by the length of the hypotenuse.

Trigonometric Ratios

Ratios that help us to understand the relationships between sides and angles of right triangles.

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The provided text is a section from an educational resource that introduces the concepts of sine, cosine, and tangent, along with related vocabulary and the Pythagorean Theorem. It does not contain any specific mathematical questions or answers to such questions.
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First, describe the content structure you found in 1-2 sentences.

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# 8.6: Sine, Cosine, Tangent

Difficulty Level: At Grade Created by: CK-12
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MEMORY METER
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### Notes/Highlights Having trouble? Report an issue.

Color Highlighted Text Notes

### Vocabulary Language: English

Acute Angle

An acute angle is an angle with a measure of less than 90 degrees.

Two angles are adjacent if they share a side and vertex. The word 'adjacent' means 'beside' or 'next-to'.

Hypotenuse

The hypotenuse of a right triangle is the longest side of the right triangle. It is across from the right angle.

Legs of a Right Triangle

The legs of a right triangle are the two shorter sides of the right triangle. Legs are adjacent to the right angle.

opposite

The opposite of a number $x$ is $-x$. A number and its opposite always sum to zero.

Pythagorean Theorem

The Pythagorean Theorem is a mathematical relationship between the sides of a right triangle, given by $a^2 + b^2 = c^2$, where $a$ and $b$ are legs of the triangle and $c$ is the hypotenuse of the triangle.

The $\sqrt{}$, or square root, sign.

sine

The sine of an angle in a right triangle is a value found by dividing the length of the side opposite the given angle by the length of the hypotenuse.

Trigonometric Ratios

Ratios that help us to understand the relationships between sides and angles of right triangles.

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Authors:
Tags:
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The provided text is a section from an educational resource that introduces the concepts of sine, cosine, and tangent, along with related vocabulary and the Pythagorean Theorem. It does not contain any specific mathematical questions or answers to such questions.

TYPE: NO_QUESTION