10) sin Express the product as a sum containing only sines or cosines. 11) cos(40) cos(30) A) cos 0 9lam70) - sin 0] • cos(70)] B) lcos(70) - cos 0] D) cos2(1202) Express the sum or difference as a product of sines and/or cosines. 12) sin(20) - sin(40) A) -2 sin 0 cos(30) 9-2 sin 0 B) 2 cos(20) cos(30) D) 2 sin(30) cos 0

Q: 6. 1) cos sin 7 -1 2V5 -1 3) csc cos 5) csc sin " -1 4/5

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Q: Evaluate. (sin 30)2 cos 180 + tan 0 - cot(- 45) 5/4 7/4 3/4

A: NOTE: Refresh your page if you can't see any equations. . use the formula

Q: 7.6, #1 Find the exact value of the expression whenever it is defined. sin (-)= %3D b. tan-(-V3) =…

A: As per bartleby guidelines we are allowed to answer only one question at a time.So kindly repost…

Q: 5TT 2. Cos 6. 2п Cos 3 + sin sin 6 - - - 3 一。

A:

Q: cos(4x) – cos(8x) tan(2x) tan(6x) cos(4x)+ cos(8x)

A: We have to proof

Q: Establish the identity 2 O A. cos2 0- sin ²0 1- cot² 0 О в. cos² 0-sin 20 1 - cot² 0 O C. cos ²0-sin…

A: We know, cot θ=cos θsin θ

Q: Find * sin (In æ) cos²(ln x) dx. cos (In x) , cos³ (In x) 3 cos (In x), cos³ (In x) 5 3 5 Option 3…

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Q: 8. Express the product sin30 cos50 as a sum. 1/2 (sin80-sin20) 1/2 (sin80+sin20) sin80-sin20…

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Q: tan(2x) = O cos(4x) – 1 sin(4x) COS O 1+ cos(4) sin(4x) O 1- cos(2) sin(2x) sin(4x) 1+ cos(4x)

A:

Q: 12 Prove that sin 80 cos 0-sin 60 cos 30 a. = tan 20 cos 20 cos 0- sin 30 sin 40

A:

Q: In order to solve with we first write and Setting to get sin 2xdx + cos 3ydy = 0 y(π/2) = π/3 cos…

A:

Q: 3. sin 27° =cos ? cos 73° cos 153° cos 27° cos 63° O O O O

A: To find equivalent of sin27

Q: Prove Cos (3x)- cos (7x)/sin (3x+sin (7x) =tan (2x)

A: To Prove: Cos3x-Cos7xSin3x+Sin7x=tan2x Formulae to be used:…

Q: sin(1-2n 1-2 sin(1+2a) 1-2 %3D

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Q: M= sen 50° · cos 10° - sen 25° cos 35° sen 12,5 °. cos 12,5°

A:

Q: 3. Evaluate without using 1 calculators: cos sin- 13 -1 Cos 5 -

A:

Q: Evaluate 1¹ 1 - cos 2x sin 2x dx In | csc 2x + cot 2x | -ln | sin 2x | +C In 1|csc 2x-cot 2x |--In |…

A: The given integral is: I=∫1-cos2xsin2x   As we know the common integrals; 1). ∫cscxdx=lncscx-cotx+C…

Q: Prove That 4 Sin ³²A - CoS 3 A +4 Cas³ A - Sin 3 A = 3 Siny A

A: We need to prove: 4sin3A.cos3A+4cos3A.sin3A=3sin4A

Q: 16) tan cos -1 V299 18) cos tan-- V57 20) sin cos 19 3/5

A: topic - Inverse trigonometric functions

Q: Simplify - 2sin(2 – x)cos(2r + 1). O cos(x + 3) – cos(3x – 1) O sin(1 – 3x) – sin(x +3) O sin(3x –…

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Q: Find sin 0 and cos 0 if tan 0 sin = 3/5 sin = -3/5 sin = 4/5 sin = -4/5 cos = 3/5 cos = -3/5 cos =…

A:

Q: The simplified form of cos ( - 5z) 5z) + sin 6 52) + sin (; + 52) O v3 cos 5x + v2 sin 5x O v2 cos…

A: This can be evaluated as:

Q: Suppose that π≤θ≤3π/2, tan(θ)=6/12, find sin(θ)=______. (round to 3 decimal places)

A:

Q: 1) tan - 2) cos 3) tan 105° 4) sin 5) sin 105° 6) tan 165° 13n 7) cos 12 8) tan 15° 9) cos 12 10)…

A: cosA+B =cosA cosB - sinA sin B tanA+B =tanA+tanB1-tanA.tanB tanA-B=tanA -tanB1+tanA.tanB Note : As…

Q: if cos alpha + 2 cos beta + 3 cos gamma = 0 ; sin alpha + 2 Sin beta + 3 sin gamma = 0 then  cos 3…

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Q: tan 30 + 2S in Go +Cos 30 -tan 60 4.

A:

Q: Find sin(2x), cos(2x), and tan(2x) from the given information. cos(x) =  12 13,   csc(x) < 0…

A: We shall use the trigonometry identities   Sin2x +cos2x =1 Sin2x= 2sinx Cosx   Cos2x= 1- 2sin2x…

Q: 51 |x* sin 3xdx 2 53 [x' sin 3xdx 55 sin 3xsin 2.xdx

A: As per the guidelines I am supposed to do the first question among multiple questions. So I am doing…

Q: v3 V3 sin 30 = , cos 30° = , tan 30° = COS %3D O sin 30° = , cos 30° = . , tan 30° = %3D %3D V3, cos…

A:

Q: Prove that ; cosec x . cosec 2x . sin 4x . cos 6x . cosec 10x cos 3x + cos 5x cos 7x cos 9x sin 2x…

A:

Q: 20) sin(票 23) sin(一回) 21) cos (TT+e) 22) sin(277-e) 29) cos(年+e) 5TT 26) sin() 2テ) ton() 25)…

A: By bartleby rules, only first three questions have been answered 20.  sin5π12=sinπ2-π12=cosπ12…

Q: 1. tan 4 2. sin Зл 3. sin 4 4л 4. cos 3

A: There are multiple question. As per company policy kindly ask other question separately . 1.

Q: 19. 2 sin 3x = V2 %3D 21. 2 cos (2x + 1) = 1 23. 2 sin (4x - 1) = 1 3x 25. 2 cos %3D EN =

A: The give trigonometric equation is: 2sin3x=2    ....(1) As we know that if the trigonometric…

Q: 4. Write 16 cos* xin terms of first powers of cosine. • Previous Next

A:

Q: Ísin^8 (3z) cos^5 (3z) dz * O 1/27 cos^9 (3z) - 2/33 cos^11 (3z) + 1/39 cos^13 (3z) + C O 1/27 sin^9…

A: Given integral I=∫ sin8(3z) cos5(3z)  dz

Q: To prove cos (-u) csc (-u) tan (-u) = 1, which of the following is correct as a first step? a. cos…

A: cos-u csc-u tan-u=1

Q: sin + 4 4 can be expanded to: sin sin 4 4 cos cos 4 o sin - cos 4 sin 4 sin 4 o cos -sin 4 + cos 4…

A: Solve the following

Q: 9 Prove Sen 4t 4 cos3t sint-sin3t cos t.

A:

Q: 13л +i sin 16 5л +i sin 8. 13л 5л Let Z1 = 10| cos and Z, = 2| cos 16 8

A:

Q: Suppose that π/2≤θ≤π, sin(θ)=2/10, find tan(θ)=______. (round to 3 decimal places)

A: Given:-sinθ=210π/2≤θ≤π

Q: By equating the real parts of cos5θ + j sin5θ = (cosθ + j sinθ)5 Show that cos5θ = 16cos5θ -…

A: Given By equating the real parts of cos5θ + j sin5θ = (cosθ + j sinθ)5

Q: Show that 1 1. sec-1 x = cos-1 x = cos-1 1-x 2. cos-1x = tan-1 1+x Find the exact value 1.cos[sin-1-…

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Q: how can 2sin(2β)cos(4β) be expressed as a sum?

A:

Q: If cos 0+sin 6= /2 cos 0, show that cos 0-sin 6 = /2 sin 6.

A:

Q: 1-cos^3A/1-cosA = cos^2A + cosA+1

A: 1-cos3A1-cos A=cos2A+cos A+1

Q: (cos 20+ jsin 20) (cos 60+ jsin 60)1" (cos 30+ jsin 30)°(cjs 1000)

A: the given expression is cos 2θ+jsin 2θ5cos 6θ+jsin 6θ10cos 3θ+jsin 3θ9cjs 10θ Using De Moivre's…

Q: Prove (sin10x)/(sin9x+sinx) = (cos5x)/(cos4x

A: Explanation of the prove is given below..

Q: 4. cos' (sin (7 /6 )) 5. sin 1 (cos (π/ ) 6. tan (sin (3n/2))

A:

Q: What is the simplified form of cos 10z-cos 42 , sin 102+sin 4æ O -tan(7x) O -cot(7x) O tan(7x) O…

A: We will evaluate the given form to simplest form as shown below

Q: 24. (sin 0°)(tan 30°) + cos 0° 26. cos 60°(cos 0° - cos 180°) 25. (cos 180° + 2 tan 45°) 27. (sin…

A: