Notes Day 2 - 6.1 Reciprocal, Quotient, & Reciprocal … · 2018. 1. 12. · Notes Day 2 6.1...
Transcript of Notes Day 2 - 6.1 Reciprocal, Quotient, & Reciprocal … · 2018. 1. 12. · Notes Day 2 6.1...
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
Notes Day 2 6.1 Reciprocal, Quotient, & Reciprocal Identities.notebook January 12, 2018
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
Notes Day 2 6.1 Reciprocal, Quotient, & Reciprocal Identities.notebook January 12, 2018
Notes Day 2 6.1 Reciprocal, Quotient, & Reciprocal Identities.notebook January 12, 2018
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.
Notes Day 2 6.1 Reciprocal, Quotient, & Reciprocal Identities.notebook January 12, 2018
Ex(2) Simplify each expression to a primary trigonometric function.
Notes Day 2 6.1 Reciprocal, Quotient, & Reciprocal Identities.notebook January 12, 2018
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
Notes Day 2 6.1 Reciprocal, Quotient, & Reciprocal Identities.notebook January 12, 2018
Ex(4) Prove each of the following:
Notes Day 2 6.1 Reciprocal, Quotient, & Reciprocal Identities.notebook January 12, 2018
Notes Day 2 6.1 Reciprocal, Quotient, & Reciprocal Identities.notebook January 12, 2018
Notes Day 2 6.1 Reciprocal, Quotient, & Reciprocal Identities.notebook January 12, 2018
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