2-[ ( 6 sin 2t – 5 cos 2t ) 6. 3+2S 4-1

Q: cos 30° + sin 60° V3 Prove that 1+ cos 60° + sin 30° 2.

A: Given to prove : cos30∘+sin60∘1+cos60∘+sin30∘=32…

Q: Verify the identity. (7 cos x-4 sin x)2 + (4 cosx+7 sin x)2 = 65

A: Given,           7cosx-4sinx2+4cosx+7sinx2=65

Q: - 1, z = cos-

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Q: 3.7 O cos ) cos(8-x) cos - cos 3

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Q: Given the following informationabout one trigonometric function, evaluate the other five functions.

A: Solution: Consider the given trigonometric function is sin θ = -45    and π < θ < 3π2 sin θ =…

Q: Find all solutions to 2 sin(0) = 3 on the interval 0 <0 < 2n %3D

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

Q: 2. 1.5 sin(3t-

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Q: 2 2 In sin 2x - 2 In (1 + cos 2x) = In ( )- %3D

A: Given that: The identity is 2 ln sin 2x - 2 ln ( 1 + cos 2x) = 2 ln tan x .

Q: 4. Express the following in cartesian form. 2 2 cos 03 sin

A: Given r=22cosθ-3sinθTo express in cartesian form:

Q: Value of L is 16 $3+9s 16 O(1 + sin 31) 16 O (1 + cos 3t) 16 (1+ cos 3t) 3 (1 - cos 3t)

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Q: 5. Evaluate π/3 π/6 cos3 x sin−2 xdx.

A: 5.Solution…

Q: Solve the equation on the interval 0≤0 < 2. 2 cos ²0 - 3 cos 0+1=0

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Q: (4) = - V2 -1 cos 4

A: Given,            cos-122=-π4

Q: -V3 cos 3 cos -1- cos 0 Cos e COS 1/29

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Q: Solve the equation on the interval 0 < 0 < 2n. 6) cos2 0 + 2 cos 0 + 1 = 0

A: We factor the equation

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

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Q: 20. е -3.1х cos 2.1x, e -3.1х sin 2.1x

A:

Q: 10. Prove that 7/2 sin 0 cos (cos a cosec 0) do -(1-cos a). 2 ||

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Q: 5/2 Sin'2 cos3x

A: write ∫sin52xcos3xdx as ∫sin52xcos2xcosxdx. Use the identity sin2x+cos2x=1. So,…

Q: 3 Show that sin' 0 cos“ 0 1 1 cos (40) + 32 cos 128 cos ( 80). 128

A: To prove that,           sin4θcos4θ=3128-132cos4θ+1128cos8θ

Q: -5 cos 2B cos 6B -5 cos 4B + 5 sin 8B -5 cos 8B – 5 sin 4B 2 2 -5 cos 4B – 5 sin 8B -5 cos 4B – 5…

A: Solve : -5cos2Bcos6B Use formula = [cos(a-b)+cos(a+b)]/2

Q: 25л then 6. If 0 sin(0) - cos(0) =

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Q: Find the exact value of the expressic ܪܕܐ -1 sin sin ၁ 5 သ | O 2n O 2n 5 5 Эт O 3n 5 3 5

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Q: 3.16. Show that 10 (1 – i)49 (cos + i sin ) (8i – 8/3)6 - V2. -

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Q: 7. Prove: cos(0 + 2) 7) = sine.

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Q: 3. 2 [sin 4 3x cos² 3xdx

A: 3. To evaluate the ∫sin43x cos23x dxFormula: (1) cos2x=1-sin2x(2) ∫sinn xdx=-1n sinn-1x cos x+n-1n…

Q: 27. Evaluate: cos 2) - sin 6 4 /3 /2 2 2 1 V2 V3 2 2 1 V2 2 None of the above. + |

A: Hence option (c) is correct.

Q: 2 2. (sin cos x) = sin 2x +1 2х +

A: The given identity

Q: 3. Express into standard form: = = 8[cos (-5) + + sin(-5)] Z i 3 3

A: Solution

Q: VERIFY THE IDENTITIES

A: To verify

Q: prove it 5. 2 sin (3x) = 1– cos(6x)

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Q: 5) 2√√3 cos sin 0 - cos 0 = 2cos 0

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Q: 2 sin ( 1₂ ) cos (1/₂) = √2

A: We have to find the value of 2sinπ12cosπ12 Using double angle identity of Sine…

Q: 3. sin(2x - 6) = cos(4x + 18) %3D

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Q: 3 Verify the identity: csc (0) 1-cos2 (0) cos (20) 2 sin(0) + 2tan(0) cos(0) = %3D sin (0)

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Q: 2 sin 1 3 -1 cos tan 4

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Q: sin 0 13. Prove that 1 - = Csc 0(1 + cos 0). Cos 0

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Q: Q3-Prove that (cos30=cos³ 0-3cos 0 sin? 0)

A: Using compound angle formula &amp; trigonometric identities.

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

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Q: 9. sin 2x cos x + cos 2x sin x %3D 1/2

A: To find all solutions in the interval (0,2π). sin2xcosx+cos2xsinx=-12

Q: -2 -4 -2 -4 2 sin -2 1 2 cos -2 1 = I. %3D 4 2 2 5,

A:

Q: Find all exact solutions to 6.cos(3 x)- 4 = 14•cos(3·x) in the interval [0,2 1)

A: Solve the given problem.

Q: 7. Solve the equation for exact solutions over the interval[0,2x). 2cos' (2x)=1- cos (2x) %3D

A: Since you have posted multiple questions, we will solve only first question for you. To getremaining…

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

A:

Q: 9. Find all solutions of the equation in the interval [0,2n) cos(3x)=

A: If  From the given equation we find 3x using cos inverse

Q: Prove that; (a) cos4θ- sin4θ = cos 2θ  (b) Sin (π/4 + A) + Sin (π/4 - A) ≡ √2 cos A

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Q: 2 COS os²(5æ) sin*(5æ)dr 4

A: This is a problem of integration. Based on the general formula of integration we will solve the…

Q: 17 prove 4 Cos" ☺ - Sin" 0 = Cos20

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Q: 2 + cos 0 = 1 + 2 sin² 0

A: The given equation is  2+cosθ=1+2sin2θ The given set of possible answers is  -π3,-π4,π6,π4,2π3,π,3π2…