18 Days. Four days  We will be using fundamental trig identities from chapter 5 and algebraic manipulations to verify complex trig equations are in.

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Presentation transcript:

18 Days

Four days

 We will be using fundamental trig identities from chapter 5 and algebraic manipulations to verify complex trig equations are in fact identities.  If both sides of an equation are exactly equal for all values of x then we call the equation an identity.  You should review the trig identities that we have previously covered so they are fresh in your mind.

1. You must show ALL your steps. 2. You may only work with one side. 3. Look for chances to factor, combine fractions, multiple by conjugates, etc. 4. Look for chances to substitute trig identities. 5. If all else fails, re-write the entire equation in terms of sine and cosine. 6. Don’t just stare at an identity. Try something, there are often several ways to verify most identities.

 p456 #1,3,4,6,8, 9,13

 p456 #14,16,17,

 Trig identities worksheet #1 - 10

 p24 Prentice Hall paper do #5 - 8, , ( not on quiz)

Four Days

 Find the solutions of  if θ is on the interval [0,2π).  if θ is any real number.

 Find the solutions of

 p469 #1,2,4,6,7,10, , 25,27, 30,31,33  solve for interval [0,2π)

 Find the solutions of

 HW: p469 #34,39,40,42,45,47,51,53,57,58,60,61,63

Three Days

 Sometimes it is possible to find trig values that are not on the unit circle if we can write them as a sum or difference of unit circle values ◦ Cos(165 o )=Cos(120 o +45 o )  Note: cos(x+y) is NOT the same as cos(x)+cos(y). We will have formulas to help us simplify these expressions.

 Find cos(105 o )  Find tan (-285 o )  Find cos(110 o )cos(20 o )+sin(110 o )sin(20 o )

 7-3 Sum and difference Identity worksheet  Skip #5,8,10

 p480 #1, 7, 11,13, 17 ̶ 27odd,32,41

Two Days

 Glencoe 7.5 skip #4 & 13

 6.4.2

 p490 #1,4,11,14,15,