4. Express the given product as a sum containing only sines or cosines 170 30 sin cos |

Q: Express the product as a sum containing only sines or cosines. cos(30) cos(20) O cos?(602) 5( cos e…

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Q: Express the product as a sum or difference. 1. sin 4x sin 8x 2. sin 7x cos 5x

A: For the expression sin 4x sin 8x, multiply and divide the expression by two.

Q: Show that (cos 0 + i sin 0)" = cos n0 + i sinne for n = 3 and n = 4.

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Q: 21 · 8* cos (8*) dx =

A: ∫21*8xcos(8x)dxSubstitute u=8x→dudx=ln(8)*8x→dx=1ln(8)*8xdu=21ln(8)∫cos(u)du

Q: 12 a. sin b. cos 2 C. tan 2 || || 0IN ON

A: sinθ2=±1-cosθ2cosθ2=±1+cosθ2

Q: Express the given sum as a product of sines and/or cosines. 3x Cos 2 + COs 2

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Q: 57 then 3 If 0 sin(0) = cos(0) =

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Q: 16. Scos cos 0 cos (sin 0) de

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Q: Write the product as a sum: 10 sin(56)cos(2b) %3|

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Q: 11m If 0 = 6. then sin(0) • %3D cos(0) =

A: Answer

Q: 71. a. Is it true that sin (2 · 30°) = 2 sin 30°? b. Expand sin(2 · 30°) as sin(30° + 30°) using the…

A: To find sin(2 .30°)=2 sin 30°and Expand sin (30°+30°) using sum formula for sineFormula:sin 2θ =2…

Q: Express the given product as a sum containing only sines or cosines. 110 sin 2 cos 2

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Q: 57 where 2 tan 0 = <0 < 3T 3 Find sin 20 7 24 24 25 24 25 25 24 4,

A: By using sin(2x) formula in terms of tan(x).

Q: 19T If 0 then = sin(0) = %3D cos(8) = %3D

A: If θ=19π6We have to find sin(θ),cos(θ)

Q: 1. The formula sinusinv 5(cos (u - v) - cos (u + v)] converts a product of sines to a of

A: sinusinv=12cosu-v-cosu+v

Q: Express the product as a sum containing Sines or Cosines; Cos (3a) Cos (2a) Cos 3a O (Cos a + Cos…

A: Given expression, cos3α cos2α                          ...(1)

Q: Use a sum or difference identity to find the exact sin 15° O = √6-1/2 4 o √6+√√2 4 √6-√√2 4 O √6+√√2…

A: We have to find the angle

Q: 6). S sin 20 cos 50 de

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Q: Determine the value of 0 in sin(40 + 2°)csc(30+5°) = 1 O 3° O 4° O 5° O 2°

A: sin(4θ+2°)csc(3θ+5°)=1sin(4θ+2°)×1sin(3θ+5°)=1

Q: Express the following as a product of factors (1) sin 2x+sin6x +sin 8x (11) cos 54+ 2cos3.4+cos.4

A: We know that sin C + sin D = 2 sinC+D2 cosC-D2 cos C + cos D = 2 cosC+D2 cosC-D2

Q: 12) Express the following product as a sum or difference containing only sines or only cosines.…

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Q: The suitable substitution to evaluate sin24(x+2) dx is None 1 [1- cos4 (r+2)] [1+ cos8(r + 2)]…

A: Topic- integration

Q: 7) 300° Pos Neg Sin Cos

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Q: O Express Cosines Cos(2€) Cos(30) each produd as a Suun Containny only Sines ady

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Q: Express the given sum as a product of sines and/or cosines. 3x 9x cos 2 + cos 2, 3x 9x Cos + cos 2…

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Q: Use a sum-to-product formula to rewrite cos 8a+ cos4a as a product. cos 8a + cos4a ||| %3D 口sin■…

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Q: Express the given product as a sum containing only sines or cosines. sin (60) cos (40)

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Q: 17. cos 2x + 3sin2x = 4 - 3sin?x %3D

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Q: Compute | a° sin(æ" + 2) dæ.

A: Given : ∫x6sinx7+2dx

Q: Express the following product as a sum. 2 cos(9x) sin(3x)

A: We have to express the product as a sum: 2 cos9x sin3x We know the identities: sinA+B=sinA cosB+cosA…

Q: 3.2. Prove the following identity. 1+ sine sint = 2+4 tan 0 cose cose

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Q: 5. Find sin : (a) 1+:+..

A: Solution: We have to find the value of ∫z=12sinz1+z+z2+...+z20dz

Q: 1 then sin 20 is equal to 2 If 20 is in QIl and cos 30 cos 0 + sin 30 sin 0 V3 1 1

A: The given trigonometric problem is solved below in detail.

Q: Express the product as a sum containing only sines or cosines. sin (30) cos (40) O A. 1 2[cos (70) -…

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Q: 3) The following statements are false. Explain why. a) sin(sin-1(2)) = 2 b) os-'(cos(2n)) = 2n

A: Please refer the attached image for complete solution.

Q: Write the product as a sum. 19 sin ž cos COS 3

A: Explanation: Given that,  19sinx2cosx3 We know that,  sinAcosB=12sin(A+B)+sin(A-B)

Q: Write the product as a sum. sin(8x) cos(9x)

A: Since you have asked multiple questions in a single request, we will be answering only the 1st…

Q: If 0 then 4 sin(8) = cos(0) = %3D

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Q: 10 de cos(0) – 1

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Q: (7) (a) Prove the identity using Double Angle and Sum to Product Formulas: sin 10x cos 5x %3D sin 9x…

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Q: containing only sines and cosines. Sin(4theta)sin(2theta)=

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Q: Sin

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Q: Express the given product as a sum containing only sines or cosines. cos (30) cos (80)

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Q: 11. Express the product sin60 cos40 as a sum. 1/2 (sin100-sin20) O (sin50-sine) 1/2 (sin100+sin20) O…

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Q: 10. 3 sin 30 cos Od0

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Q: Write the product as a sum: 4 sin(14x)cos(5x)

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Q: *7/2 Evaluate sin" x cos x dx for n > 0.

A: ∫0π2sinnxcosxdx Substitute t=sinx Differentiate the above equation dtdx=cosxdt=cosxdx Upper limit at…

Q: Write the product as a sum: 10 sin(43q)cos(15q)

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Q: 2)50lve For Oso<27 -13 Sin n a =Coso

A: