Notes Day 2 - 6.1 Reciprocal, Quotient, & Reciprocal … · 2018. 1. 12. · Notes Day 2 6.1...

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Notes Day 2 6.1 Reciprocal, Quotient, & Reciprocal Identities.notebook January 12, 2018 An equation is a statement that is true for a limited number of values. An identity is a statement that is true for any value of the variable, except those for which either side of the equation is undefined. A trigonometric equation is an equation that involves at least one trigonometric function of a variable. A trigonometric equation is called a trigonometric identity if it is true for all values of the variable for which both sides of the equation are defined. Equation vs Identity

Transcript of Notes Day 2 - 6.1 Reciprocal, Quotient, & Reciprocal … · 2018. 1. 12. · Notes Day 2 6.1...

Page 1: Notes Day 2 - 6.1 Reciprocal, Quotient, & Reciprocal … · 2018. 1. 12. · Notes Day 2 6.1 Reciprocal, Quotient, & Reciprocal Identities.notebook January 12, 2018 An equation is

Notes Day 2 ­ 6.1 Reciprocal, Quotient, & Reciprocal Identities.notebook January 12, 2018

An equation is a statement that is true for a limited number of values.

An identity is a statement that is true for any value of the variable, except those for which either side of the equation is undefined.

A trigonometric equation is an equation that involves at least one trigonometric function of a variable.

A trigonometric equation is called a trigonometric identity if it is true for all values of the variable for which both sides of the equation are defined.

Equation vs Identity

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Notes Day 2 ­ 6.1 Reciprocal, Quotient, & Reciprocal Identities.notebook January 12, 2018

Page 3: Notes Day 2 - 6.1 Reciprocal, Quotient, & Reciprocal … · 2018. 1. 12. · Notes Day 2 6.1 Reciprocal, Quotient, & Reciprocal Identities.notebook January 12, 2018 An equation is

Notes Day 2 ­ 6.1 Reciprocal, Quotient, & Reciprocal Identities.notebook January 12, 2018

1

1

­1

­1

P(x,y)

x

yr

Patterns in the Unit Circle

Pythagorean Identity

Page 4: Notes Day 2 - 6.1 Reciprocal, Quotient, & Reciprocal … · 2018. 1. 12. · Notes Day 2 6.1 Reciprocal, Quotient, & Reciprocal Identities.notebook January 12, 2018 An equation is

Notes Day 2 ­ 6.1 Reciprocal, Quotient, & Reciprocal Identities.notebook January 12, 2018

Page 5: Notes Day 2 - 6.1 Reciprocal, Quotient, & Reciprocal … · 2018. 1. 12. · Notes Day 2 6.1 Reciprocal, Quotient, & Reciprocal Identities.notebook January 12, 2018 An equation is

Notes Day 2 ­ 6.1 Reciprocal, Quotient, & Reciprocal Identities.notebook January 12, 2018

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Notes Day 2 ­ 6.1 Reciprocal, Quotient, & Reciprocal Identities.notebook January 12, 2018

Ex(1) Determine the non­permissible values of x, in             degrees, for each expression.

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Notes Day 2 ­ 6.1 Reciprocal, Quotient, & Reciprocal Identities.notebook January 12, 2018

Ex(2) Simplify each expression to a primary trigonometric                               function.

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Notes Day 2 ­ 6.1 Reciprocal, Quotient, & Reciprocal Identities.notebook January 12, 2018

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Notes Day 2 ­ 6.1 Reciprocal, Quotient, & Reciprocal Identities.notebook January 12, 2018

Ex(3) Verify that the following equation is true.

  1 + tan2x = sec2x

Non­permissible values

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Notes Day 2 ­ 6.1 Reciprocal, Quotient, & Reciprocal Identities.notebook January 12, 2018

Ex(4) Prove  each of the following:

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Notes Day 2 ­ 6.1 Reciprocal, Quotient, & Reciprocal Identities.notebook January 12, 2018

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Notes Day 2 ­ 6.1 Reciprocal, Quotient, & Reciprocal Identities.notebook January 12, 2018

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Notes Day 2 ­ 6.1 Reciprocal, Quotient, & Reciprocal Identities.notebook January 12, 2018

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Notes Day 2 ­ 6.1 Reciprocal, Quotient, & Reciprocal Identities.notebook January 12, 2018

Ex(5)  Verify  that                              is true for 

Exercises: Page 296 ­ 298# 1, 3(omit graphing), 4, 5(a), 10, 12, 14