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Flashcards in Chapter 5 Deck (11)
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1

Name the strategies used to SIMPLIFY using fundamental identities.

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

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

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

Checking Answers?

Insert the x value into the equation, make sure the squared sign is outside the brackets. leave the other value like the one by itself.