Flashcards in Chapter 5 Deck (11)

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1

## Name the strategies used to SIMPLIFY using fundamental identities.

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1) Look for a common factor

2) Recognize the Pythagorean identities

3) Rewrite everything in terms of sin and cos

4)When needed, find a common denominator

2

## Name the Pythagorean Identities

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sin²x + cos²x = 1

1 + tan²x = sec²x

1 + cot²x = csc²x

3

## Factor each expression.

### Factor the same way you factor anything

4

## Product property of logarithms

### ln(u*v)= ln u + ln v

5

## Quotient Property of logarithms

### ln (u/v) = ln u - ln v

6

## Rewrite the expression so that it is NOT in fractional form

### multiply the bottom part of the fraction by the CONJUGATE

7

## Conjugate

### same first two terms of an expression separated by different sign

8

## Strategies for VERIFYING trig identities

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1. Do NO touch the right hand side

2. Transform left side to turn it into right side

9

## SOLVING simple trigonometric equations strategies

### Collect like terms, make sure all trig functions are on one side of the equation, use unit circle to find out answers (CAST)

10

## 2 or more functions in the same equation?

### All functions in the same side, use lopezian method or use zero product property

11