Circular Functions

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Section 6.5

• Circular Functions

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Quiz time

• This is an optional quiz
• If you made a perfect unit circle last time you
  do NOT have to do so now.
• If not, this quiz can replace the last one.

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The Unit Circle
Notice the coordinates are in alphabetical order
Notice the coordinates are in alphabetical order
On the unit circle, the coordinates are also
Also in alphabetical order
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For a real number s, that determines a point
(x,y) on the unit circle.
Each of these can be considered a part of the
unit circle and a function by itself.
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Sine Function
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Cosine Function
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Tangent Function
Division by zero at pi/2
Sine Function
Cosine Function
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Tangent Function
Cotangent Function (similar to Tangent except
reciprocal and phase shift)
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Secant
Division by zero at pi/2
Peak/valley inverse
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Secant Function
Cosecant Function (similar to Secant except
phase shift)
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Important

• Unless you understand the domains, ranges, and
  periods of these functions you will not be able
  to correctly solve Trigonometric Equations in
  Chapter 7!
• Be sure you are in the correct mode, degrees or
  radians, when using a calculator.

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Homework

• 3,7,8,13,15,19,25,33,39,53-56