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DOUBLE-ANGLE AND HALF-ANGLE FORMULAS. If we want to know a formula for we could use the sum formula. we can trade these places This is called the double.

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Presentation on theme: "DOUBLE-ANGLE AND HALF-ANGLE FORMULAS. If we want to know a formula for we could use the sum formula. we can trade these places This is called the double."— Presentation transcript:

1 DOUBLE-ANGLE AND HALF-ANGLE FORMULAS

2 If we want to know a formula for we could use the sum formula. we can trade these places This is called the double angle formula for sine since it tells you the sine of double 

3 Let's try the same thing for This is the double angle formula for cosine but by substiuting some identities we can express it in a couple other ways.

4 Double-angle Formula for Tangent

5 Summary of Double-Angle Formulas

6 Page 262 #7 (a and b)

7 Half-Angle Formulas We can also derive formulas for an angle divided by 2. As stated it is NOT both + and - but you must figure out where the terminal side of the angle is and put on the appropriate sign for that quadrant.

8 Page 262 #7 (a and b)

9

10 We could find sin 15° using the half angle formula. Since 15° is half of 30° we could use this formula if  = 30° 30° 15° is in first quadrant and sine is positive there so we want the +

11

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13 Pages (8, 12, 16, 20, 22, 24, 36, 48)


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