Trigonometric Functions First lets review the three basic

Trigonometric Functions First, let’s review the three basic Trigonometric Functions. Sine (sin) Cosine (cos) Tangent (tan) Cosecant (csc) Secant (sec) Cotangent (cot) Remember… One Co No Co Co They are called the Reciprocal Functions because each one is a reciprocal of one of the basic three functions. Now there’s three more trigonometric functions that you need to know. I remember those.

Trigonometric Functions & Angles Let’s look at the Trigonometric Functions with a triangle. B c A b a C To get the reciprocal functions, just flip over the basic functions.

Reciprocal Function Relationships Remember… One Co No Co Co

Equivalent Functions Some functions can be substituted for other functions. Basically, they are Sam Ting.

Equivalent Function Examples Find the equivalent expression for the following.

Homework Rewrite the following as a single expression with no fractions.

Radical vs Exponential Form All radicals can be written in exponential form. Exponent Root 4 3 The root goes in the ground and the exponent goes on top. All exponents can be written in radical form. 2 1 That was easy

Converting from Radical Form to Exponential Form Remember that the root goes in the ground and the exponent goes on top. Also remember this rule about exponents. Rewrite each expression in exponential form. Asi de Facil

Converting from Exponential Form Radical to Form Remember that the root goes in the ground and the exponent goes on top. Also remember this rule about exponents. Rewrite each expression in exponential form. That was easy

Simplifying Powers Hey this is pretty easy. That was easy

Monomial Factors Factor the following expressions. Example 1 Multiply to check that your factored form is correct. Example b Example 3 Factor out Example 5 Use equivalent functions to create a common factor. Multiply to check that your factored form is correct. Example d The smallest exponent is the greatest common factor. Convert back to original form. Factor out Multiply to check that your factored form is correct. Use equivalent functions to rewrite your result.

Binomial Factors Example 1 Factor the following expressions. Multiply to check that your factored form is correct. Example b Simplify your result. Example 3 Factor out That was easy

More Binomial Factors Factor the following expressions. Example d Example 5 The smallest exponent is the greatest common factor. Example 6

Homework Factor each into simplest form.

Quadratic Expressions Example 1 STOP DROP ROLL Asi de facil Example b

More Quadratic Expressions Example 1 Example b That was easy Example 3 Hey this is pretty easy.

Factoring Perfect Square Trinomials Remember multiplying the Square of a Sum and the Square of a Difference? Perfect squares Factoring Perfect Square Trinomials is the same thing in reverse. Perfect squares Asi de Facil

More Perfect Square Trinomials Example 1 Perfect squares Those look a lot harder than they really are. Example 3 Perfect squares Example b Perfect squares That was easy

Cancellation Example 1 Example 3 Example b Example d Those were pretty easy. Let’s look at some more difficult examples.

More Cancellation Example 1 These are too easy. Do they get any harder than this? Example b

Homework Factor each into simplest form.