Trigonometric Functions and Quadrantal Angles

Trigonometric Functions and The Unit Circle

Standard: Alg2.M.F.TF.A.02

The highly proficient student can understand that any point on any circle can be identified using trigonometry functions.

Trigonometric Functions and The Unit Circle

Today’s Objectives:

1. Define what is a Unit Circle.

2. Define the 6 Trig Ratios using x, y and r.

3. Solve the six Trigonometric Functions of

Quadrantal Angles.

Open Ended

List 3 things you know about circles. It may include its definition, parts and equation.

The Unit Circle

Dropdown

What makes a unit circle, a UNIT CIRCLE?

A unit circle is ​

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in which the ​

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is found at ​

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with a ​​ radius of ​ ​

Select answer

.

What makes a unit circle, a unit circle?

IA unit circle is a
circle centered at the
origin

with a radius of 1
unit.

Redefining the Six Trigonometric Functions
Using x, y and r on the Unit Circle

Interactive Notes

Evaluating the Six Trigonometric Functions Of
Quadrantal Angles

Example 1: Evaluate sin, cos, tan, csc, sec and
cot 90⁰.

Evaluating the Six Trigonometric Functions Of
Quadrantal Angles

Example 1: Evaluate sin, cos, tan, csc, sec and
cot 90⁰.

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Match

Match the following

• sin 180^o

• sec 180^o

• cos 360^o

• tan -90^o

0

-1

1

undefined

• 0

• -1

• 1

• undefined

Reflect on our objectives today, which of these
objectives do you fully understand? Which of the
objectives need clarification?

Today’s Objectives:

1. Define what is a Unit Circle.
2. Define the 6 Trig Ratios using x, y and r.
3. Solve the six Trigonometric Functions of

Quadrantal Angles.

Poll

Which objectives do you fully understand?

• Define what is a Unit Circle.

• Define the 6 Trig Ratios using x, y and r.

• Solve the six Trigonometric Functions of Quadrantal Angles

Poll

Which objectives do you need clarification?

• Define what is a Unit Circle.

• Define the 6 Trig Ratios using x, y and r.

• Solve the six Trigonometric Functions of Quadrantal Angles

• None