4 2 Trigonometric Function The Unit circle The
- Slides: 22
4. 2 Trigonometric Function: The Unit circle
The Unit Circle A circle with radius of 1 Equation x 2 + y 2 = 1
The Unit Circle with Radian Measures
Do you remember 30º, 60º, 90º triangles? Now they are really! Important
Do you remember 30º, 60º, 90º triangles? Now they are really! Important Even more important Let 2 a = 1
Do you remember 30º, 60º, 90º triangles? Let 2 a = 1
Do you remember 30º, 60º, 90º triangles?
Do you remember 45º, 90º triangles? When the hypotenuse is 1 The legs are
Some common radian measurements These are the Degree expressed in Radians
The Unit Circle: Radian Measures and Coordinates
The Six Trig functions
Why does the book use “t” for an angle? Since Radian measurement are lengths of an arc of the unit circle, it is written as if the angle was on a number line. Where the distance is “t’ from zero. Later when we graph Trig functions it just works better.
Lets find the Trig functions if Think where this angle is on the unit circle.
Find the Trig functions of Think where this angle is on the unit circle.
How about
There are times when Tan or Cot does not exist. At what angles would this happen?
There are times when Tan or Cot does not exist.
If think of the domain of the trig functions, there are some limits. Look at the unit circle. If x goes with Cos, then what are the possible of Cos? It is the same with Sin?
Definition of a Periodic Function A function “f” is periodic if there exist a positive real number “ c” such that f(t + c) = f(t) for all values of “t”. The smallest “c” is called the period.
Even Function ( Trig. ) Cos (- t) = Cos (t) and Sec( -t) = Sec (t) Also Sin(-t) = -sin (t) and Csc (-t) = - Csc (t) Tan(-t) = -Tan (t) and Cot(-t) = - Cot (t)
Homework Page 278 - 279 #1, 5, 9, 13, 17, 21, 25, 29, 33, 37, 41, 45, 48, 52, 59, 68
Homework Page 278 - 279 # 2, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 49, 58, 61
- Trigonometric functions and the unit circle
- Trigonometric functions unit circle approach
- Trigonometric functions unit circle approach
- Limits of trigonometric functions
- Derivative of sin inverse x
- Trigonometric function transformations
- Trigonometric functions domain and range
- Trigonometric function properties
- Trigonometric function
- What is arctan equal to
- Satc trig
- Algebra 2b unit 4 trigonometric functions
- Vertical circle and horizontal circle
- Circle j is congruent to circle p
- At least inequality sign
- Circle a is tangent to circle b. true false
- Unit 6 review questions
- Unwrapping the unit circle
- How to find tan on unit circle
- Sim cos tan
- Sec unit circle
- Negative unit circle
- Trigonometric functions of real numbers