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:
● 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:
