1-sine de. cos²0

Q: 5- S(cos3x – 2) sin3x dx

A:

Q: cos sin-cos -d0

A:

Q: Use variation of parameters to solve for: a" + 4a = eln sin? 20

A: To find the general solution of the given differential equation using variation of  parameters first…

Q: Show that 0=30° is a solution to (sin 0)sine 4. 1 5/-

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Q: sin30 de 10. 1 -cos 0

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Q: 4x 3 1) cos-- 3) cos- T 4 adton 2) sin 4) sin 5n 3 11 6

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly ask…

Q: Find all solutions of the equation in the interval 0, 2n). sinx+ cos 2x=D1

A: basic formulae required to solve the above question: cos2x=1-2sin2x function positive in…

Q: Evaluate COS (2x)sin(2a)dx

A: We have to evaluate  ∫cos4(2x) sin(2x) dx.

Q: 4. Find the general solution of the equation: cosr– sin 2x =0

A: Use general solution

Q: The answer of the integral sin2x cos3x dx is:

A:

Q: Find all solutions of the equation in the interval 0, 2n). sine(2 cos 0 + /2) = 0

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Q: 5.) Scesin 2 sinl 3x) - 5 cos ( 2x))·dx

A:

Q: Find the solutions of the equation that are in the interval [0, 2π).

A: Given that : The equation is sin β + 2 cos2β = 1 , [ 0, 2π) .

Q: Find all solutions algebraically for 0 <0 < 2n for the equation sin 20 + cos 0 = 0 .

A: given , sin2θ+cosθ=0 , we have to find solutions in between 0≤θ≤2π

Q: Solve the equation sin 0 + 3 cos 0 = 1 for 0€ [0, 2л).

A: Explained below

Q: sin' (2t) cos? (2t) dt

A: Use the substitution and replace the terms by new variable and solve easily.

Q: Find the first ten positive roots of cos 30 + sin 0. Show your work.

A: Given Equation : cos3θ+sin θ3 +12 =0 Find the positive roots of the equation.

Q: 5. Use substitution to find S sin1º0 cos 0 d0.

A: We will find the integration.

Q: 15.) у" + у%3D хе* sin 2x

A: Given differential equation is  y''+y=xexsin2x

Q: Express (cos(20)+i sin(20))*in exponential form

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Q: 1. S sina de cos²x

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Q: Express (cos(40) + i sin(40))' in exponential form

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Q: Find L(sin 2t cos 2t) inned with CamScanner

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Q: Derire the gy ivenidentities Sin20 = sec seco Sine Coso

A: To prove: sin2θsinθ-cos2θcosθ=secθ We know that: sin2θ=2sinθcosθ and cos2θ=2cos2θ-1

Q: Find the general solution of the equation: cos.xr-sin 2x = 0

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

Q: In cof '3x sinAte ech x² 2

A:

Q: Find carlesian equation of the followina. the 3-Sine 2. r cas (20)= 4 to 4sin (26) 2- 3.

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Q: Solve the equation. sin 0 - cos 0 = /2 %3D

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Q: Find all exact solutions on [0,2x) of the equation cos 2t = sint +1

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Q: Solve the equation sin 0 + 3 cos 0 = 1 for 0Е [0, 2л).

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Q: 2 Cos4 Sin (sinz) de

A: Consider the integral  ∫cosxsin2sinxdx

Q: Find the first two positive solutions to 2 sin(3t) 1 t -

A: We have to find first two positive solutions to given equation.

Q: -1 sin Jx dx

A: Apply U-Substitution to integrate

Q: cos? y 1- sin y

A: sin2x + cos2x = 1

Q: Find the solutions of the equation that are in the interval [0, 2π).

A: We have the given trigonometric equation as cosπx+sinπx=0

Q: dr =-1- 2r cose sine de

A: First order Linear differential equation is of the form: y'+py=q…

Q: Write the equation of the sine function that has an amplitude of 2 and a period of T Oy= 2 sin (a)…

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Q: Find the general solution to the equation/3 cos(2x) + 3 sin(2x) = 0.

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Q: b) SE cos(3x) sin(3x) 18

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Q: Solve the equation on the interval 0<0<2n. cos (20) + 14 sin2e= 10

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Q: find dr/ ds r cos 2s + sin2 s = π

A: It is given that,r cos2s+sin2s=πWe have to find drds

Q: Find S(-sin³0 – sin@cos20)d0

A: This can be solved as follows:

Q: evaluate the integral.

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Q: Find all solutions to the equation 1 sin(0) + = 0. V2

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Q: Verify.

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Q: To approximate the value of sin44° , we will use y=sinx. What must be the yalue of dy ?

A: the aproximate value of sin44 = 0.6946 for approximation  let  y= sinx dy = cosx(dx)             x=…

Q: 2. Cos4 Sin (Sinz) de

A: We have to solve

Q: 5TT i sin' cos*dx 4x. 4x, 8. 5

A:

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.