Related Topics:
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.
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