Double-the angle off the bow

Oct 20, 2014

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Double-the angle off the bow.

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Double-the angle off the bow

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Double-the angle off the bow

Double-Angle and Half-Angle Identities

Double-Angle and Half-Angle Identities. Section 5.3. Objectives. Apply the half-angle and/or double angle formula to simplify an expression or evaluate an angle. Apply a power reducing formula to simplify an expression. . Double-Angle Identities. Half-Angle Identities.

2.3k views • 35 slides

DOUBLE-ANGLE AND HALF-ANGLE IDENTITIES

DOUBLE-ANGLE AND HALF-ANGLE IDENTITIES. If we want to know a formula for we could use the sum formula. . we can trade these pla ces. This is called the double angle formula for sine since it tells you the sine of double x. Let's try the same thing for .

557 views • 13 slides

Double-Angle and Half-Angle Formulas

Double-Angle and Half-Angle Formulas . Section 5.5. Multiple-Angle Formulas. In the previous sections, we used: The Fundamental Identities Sin²x + Cos²x = 1 Sum & Difference Formulas Cos (u – v) = Cos u Cos v + Sin u Sin v Now we will use double angle and half angle formulas.

1.34k views • 49 slides

Double-Angle and Half Angle Identities

Double-Angle and Half Angle Identities. Double-Angle Identity. If represents the measure of an angle, then the following identities hold for all values of . If and terminates in the first quadrant, find the exact value of each function. -1.

463 views • 11 slides

Double- and half-angle formulae

Double- and half-angle formulae. Trigonometry. Sine double-angle formulae. Recall from the last section, the sine of the sum of two angles; sin( α + β) = sin α cos β + cos α sin β We will use this to obtain the sine of a double angle.

417 views • 21 slides

Double Angle Formulas

Double Angle Formulas. T, 11.0: Students demonstrate an understanding of half-angle and double-angle formulas for sines and cosines and can use those formulas to prove and/or simplify other trigonometric identities. . Double Angle Formulas. Objectives. Key Words. Degrees Radians

499 views • 11 slides

Double-Angle and Half-angle Formulas

Double-Angle and Half-angle Formulas. Double-Angle Formulas. Finding exact values. Solutions. Solutions. solutions. Develop a formula for sin (3 θ ) in terms of sin θ and cos θ . Establishing Identities. Other variations of double-angle formulas.

357 views • 17 slides

Double Angle Formulas

Double Angle Formulas. Let sinA=1/5 with A in QI. Find sin(2A). Let sinA=1/5 with A in QI. Find sin(2A). Let sinA=1/5 with A in QI. Find sin(2A). Find sin(90 Â°) using a double angle formula. Simplify 2sin30 Â°cos30Â°. Simplify cos 2 15 Â°â€“sin 2 15Â°.

1.03k views • 57 slides

Double-Angle and Half-Angle Identities

1 2. = 2 – Replace with exact values. = – Simplify. 3 2. 3 2. Double-Angle and Half-Angle Identities. ALGEBRA 2 LESSON 14-7. Use a double-angle identity to find the exact value of sin 600°. sin 600° = sin 2(300°) Rewrite 600 as 2(300).

325 views • 14 slides

Double-Angle and Half-Angle Formulas

Double-Angle and Half-Angle Formulas. Dr .Hayk Melikyan Departmen of Mathematics and CS melikyan@nccu.edu. Double-Angle Identities. Three Forms of the Double-Angle Formula for cos2 . Power-Reducing Formulas. Example.

661 views • 29 slides

9.3 Double-Angle and Half-Angle Formulas -FURTHER IDENTITIES

9.3 Double-Angle and Half-Angle Formulas -FURTHER IDENTITIES. Double Angle Formulas. Suppose we use the sum formula for sine, but the two values that we add are the same, that is α = β. Double angle formula for cosine. Alternate forms of the cosine double angle formula.

331 views • 15 slides

DOUBLE-ANGLE AND HALF-ANGLE FORMULAS

DOUBLE-ANGLE AND HALF-ANGLE FORMULAS. If we want to know a formula for we could use the sum formula. we can trade these pla ces. This is called the double angle formula for sine since it tells you the sine of double . Let's try the same thing for.

685 views • 19 slides

Double Angle Formulas

Double Angle Formulas. s in 2A = 2 sin A cos A cos 2A = cos 2 A – sin 2 A c os 2A = 2 cos 2 A – 1 c os 2A = 1 – 2 sin 2 A t an 2A = 2 tan A 1 – tan 2 A. sin 2x = sin ( x + x ) = sinx cosx + cosx sinx = 2 sinx cosx.

461 views • 10 slides

6.3 Double-Angle & Half-Angle Identities

6.3 Double-Angle & Half-Angle Identities. The Double-Angle Identities can be easily derived from the sum identities • • OR OR •. Double Angle Identities Half-Angle Identities. Examples: Find the exact values Ex 1) Find.  QII so (+). Ex 2) Given. –5. θ. –12.

201 views • 9 slides

Aim: What are the double angle and half angle trig identities?

Aim: What are the double angle and half angle trig identities?. Do Now: Write the identities of the following: 1. sin ( A + A) 2. cos ( A + A ). HW: Worksheet.

268 views • 8 slides

DOUBLE-ANGLE AND HALF-ANGLE FORMULAS

188 views • 11 slides

Double-Angle and Half-Angle Formulas 5.3

Double-Angle and Half-Angle Formulas 5.3. Double-Angle Identities. Example. Find sin 2x, cos 2x and tan 2x if sin x = 5/13 and x lies in quadrant II. Power-Reducing Formulas. Example.

157 views • 9 slides

Double-Angle, Half-Angle, and Product-Sum Formulas

Double-Angle, Half-Angle, and Product-Sum Formulas. The identities we consider in this section are consequences of the addition formulas. The Double-Angle Formulas allow us to find the values of the trigonometric functions at 2 x from their values at x .

380 views • 24 slides

Toufie The Bow

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Double the Health, Double the Flavor

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24 views • 1 slides

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Double-the angle off the bow

Double-the angle off the bow

Presentation Transcript

Double-Angle and Half-Angle Identities

DOUBLE-ANGLE AND HALF-ANGLE IDENTITIES

Double-Angle and Half-Angle Formulas

Double-Angle and Half Angle Identities

Double- and half-angle formulae

Double Angle Formulas

Double-Angle and Half-angle Formulas

Double Angle Formulas

Double-Angle and Half-Angle Identities

Double-Angle and Half-Angle Formulas

9.3 Double-Angle and Half-Angle Formulas -FURTHER IDENTITIES

DOUBLE-ANGLE AND HALF-ANGLE FORMULAS

Double Angle Formulas

6.3 Double-Angle &amp; Half-Angle Identities

Aim: What are the double angle and half angle trig identities?

DOUBLE-ANGLE AND HALF-ANGLE FORMULAS

Double-Angle and Half-Angle Formulas 5.3

Double-Angle, Half-Angle, and Product-Sum Formulas

Toufie The Bow

Double the Health, Double the Flavor

6.3 Double-Angle & Half-Angle Identities