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Common Core (Geometry)

Common Core for Mathematics

Examples, solutions, videos, and lessons to help High School students learn how to understand that by similarity, side ratios in right triangles are properties of the angles in the triangle, leading to definitions of trigonometric ratios for acute angles.

Common Core: HSG-SRT.C.6

The following diagram shows the connection between trigonometry and similar triangles. Scroll down the page for more examples and solutions for trig ratios and similar triangles.

**Trigonometry and Similar Triangles**

Using similarity to define sine, cosine, and tangent

Connections between similar triangles and trigonometry.
**Trig and similar triangles**

**Labeling Sides**

Learn how to label the sides of a right triangle as 'hypotenuse', 'opposite', and 'adjacent' in relation to one of the triangle's acute angles.**Writing Trig Ratios**

Writing the basic trig ratios given three side lengths; or given two side lengths.**Writing Ratios part 1**

Learn how to write the three primary trig. ratios for a right triangle given the three side lengths.**Writing Ratios part 2**

Learn how to write the three primary trig. ratios for a right triangle given two of the three side lengths.**Finding a Side Using Trig**

Using the tangent function to find an unknown side in a right triangle - two examples... one where the missing side ends up on the top of the ratio in the trig equation, and another where it ends up on the bottom.**Finding an Angle Using Trig**

Using the inverse tangent function to find an angle in a right.**Trigonometric Ratios on a Calculator**

Introduction to the trig function buttons (SIN,COS,TAN), and inverse function buttons (INVERSE SIN,COS,TAN) on a calculator.

Common Core (Geometry)

Common Core for Mathematics

Examples, solutions, videos, and lessons to help High School students learn how to understand that by similarity, side ratios in right triangles are properties of the angles in the triangle, leading to definitions of trigonometric ratios for acute angles.

Common Core: HSG-SRT.C.6

The following diagram shows the connection between trigonometry and similar triangles. Scroll down the page for more examples and solutions for trig ratios and similar triangles.

Using similarity to define sine, cosine, and tangent

Connections between similar triangles and trigonometry.

Learn how to label the sides of a right triangle as 'hypotenuse', 'opposite', and 'adjacent' in relation to one of the triangle's acute angles.

Writing the basic trig ratios given three side lengths; or given two side lengths.

Learn how to write the three primary trig. ratios for a right triangle given the three side lengths.

Learn how to write the three primary trig. ratios for a right triangle given two of the three side lengths.

Using the tangent function to find an unknown side in a right triangle - two examples... one where the missing side ends up on the top of the ratio in the trig equation, and another where it ends up on the bottom.

Using the inverse tangent function to find an angle in a right.

Introduction to the trig function buttons (SIN,COS,TAN), and inverse function buttons (INVERSE SIN,COS,TAN) on a calculator.

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