Trigonometric Identities An identity in math is : - an unconditional statement of equality - true...

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Trigonometric Identities An identity in math is : - an unconditional statement of equality - true for all values of the variable(s) for which the equation is defined

Transcript of Trigonometric Identities An identity in math is : - an unconditional statement of equality - true...

Trigonometric Identities

An identity in math is :- an unconditional statement of equality- true for all values of the variable(s) for which the equation

is defined

Trigonometric Identities

An identity in math is :- an unconditional statement of equality- true for all values of the variable(s) for which the equation

is defined

Just think of an identity as another way of representing an equation using different terms.

Trigonometric Identities

An identity in math is :- an unconditional statement of equality- true for all values of the variable(s) for which the equation

is defined

Just think of an identity as another way of representing one side of an equation using different terms.

Trigonometric Identities

An identity in math is :- an unconditional statement of equality- true for all values of the variable(s) for which the equation

is defined

Just think of an identity as another way of representing one side of an equation using different terms.

If I were working with an equation containing either of these terms, I can replace one with the other.

Trigonometric Identities

An identity in math is :- an unconditional statement of equality- true for all values of the variable(s) for which the equation

is defined

Just think of an identity as another way of representing one side of an equation using different terms.

If I were working with an equation containing either of these terms, I can replace one with the other.

- we start with this equation

Trigonometric Identities

An identity in math is :- an unconditional statement of equality- true for all values of the variable(s) for which the equation

is defined

Just think of an identity as another way of representing one side of an equation using different terms.

If I were working with an equation containing either of these terms, I can replace one with the other.

- we start with this equation

- and end up with this equation

Trigonometric Identities

Here is a list of identities that are commonly used…

Trigonometric Identities

Here is a list of identities that are commonly used…

We will use these to simplify expressions involving trigonometric functions.

Trigonometric Identities

Trigonometric Identities

The most difficult part of these problems is where to start.

Trigonometric Identities

Trigonometric Identities

Trigonometric Identities

Trigonometric Identities

Trigonometric Identities

Trigonometric Identities

** just combined fractions

Trigonometric Identities

Trigonometric Identities

Trigonometric Identities

Trigonometric Identities

Trigonometric Identities

Trigonometric Identities

Trigonometric Identities

Trigonometric Identities

Trigonometric Identities

Trigonometric Identities

Trigonometric Identities

Trigonometric Identities

Squared both sides…

Trigonometric Identities

Trigonometric Identities

Square root of both sides…