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Class notes

Trigonometry Notes

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  • Course
  • Math
  • Institution
  • Junior / 11th Grade

Lecture notes of 2 pages for the course Math at Junior / 11th grade (Trigonometry Notes!)

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  • September 14, 2024
  • 2
  • 2024/2025
  • Class notes
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  • Junior / 11th grade
  • Math
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Right Triangles & Trigonometric Ratios:


● In a right triangle, one angle is 90 degrees (a right angle).
● The three primary trigonometric ratios are:
○ Sine (sin):
sin(θ) = opposite side​/ hypotenuse

○ Cosine (cos):
cos(θ) = adjacent side / hypotenuse

○ Tangent (tan):
tan(θ) = sin(θ) / cos(θ)​= opposite side / adjacent side

● You can use these ratios to find missing side lengths or angles in right triangles.

Unit Circle and Radians:


● The unit circle is a circle with a radius of 1 centered at the origin.
● Angles can be measured in radians (where 1 radian corresponds to an arc length equal
to the radius).
● The unit circle helps us understand trigonometric functions for any angle.

Graphs of Trigonometric Functions:


● The graphs of sine, cosine, and tangent functions exhibit periodic behavior.
● The amplitude controls the height of the graph.
● The period is the length of one complete cycle.

Inverse Trigonometric Functions:

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