If you are to integrate a certain equation by Trigonometric Substitution, what must you substitute to "y" if there is a (-16^2+y^2) in the equation? O 16sin(e) O 4sine O 16sec(0) 4sec(e)

Q: a. Express x = --3-8ż in its trigonometric form r (cos(0) + i sin(0)) with 0 ≤ 0 < 2. Give your…

A: a) x=-3-8ib) 2+5i2+2i

Q: Evaluating √9-x² dx using trigonometric substitution will lead to: -3

A:

Q: Eliminate the parameter to find a Cartesian equation of the curve. 1 x(0) -cos 0 20 y(0) = 4 cos(20)…

A: (a)To determine: The cartesian equation by eliminating the parameter. (b) Range of x-values, express…

Q: 6. f cos¹ 2 xdx

A: Given,  ∫ cos7 2xdx

Q: B. With the indicated conc the given equation. 2. 2 Cos2 0 = -3 Sin 0, 3. Tan? x- Secx = 1, 4. Cos…

A:

Q: luating√√9-x² dx using trigonometric substitution will lead to: **/2 sin²0d0 3 of th 9[*/ cos²0de…

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Q: Use trigonometric identities to transform the left side of the equation into the right side (0 < 0 <…

A: We need to prove the following condition 1+sinθ1-sinθ = cos2θ

Q: 2 has a real solution True or False The equation sin 0 that can be found using a calculator.

A: Solution:Given     The equation sin θ=2 has a real solution that can be using calculator.To State:…

Q: Evaluating √√9-x² dx using trigonometric substitution will (A) 18 18 [*/2 cos²0d0 0 **/2 B 0 Cab…

A:

Q: 2. Is trigonometric substitution needed to evaluate /9 - x² dx?

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Q: y = x² cos sec 3 -1* 2

A:

Q: Solve for x from the given trigonometric equation:  arcrtan (1-x)+ arctan (1 +x) = arctan1/8

A: Given that: tan-1(1-x)+tan-1(1+x)=tan-118

Q: The problem of locating a planet in its orbit at a given time and date eventually leads to solving…

A:

Q: dx 2x

A: Integrate by trigonometric substitution

Q: 13. sec*0 sin 8 de

A:

Q: Sin(5x+9)=Cos(3x) what does x = ? Round answers to the nearest hundredth (2 decimal places).

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Q: I want all the laws of trigonometric functions and the laws of their integration

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Q: 4л coS 씀Cos 즙Cs -sin sin 15 15 15

A: We have to find the exact value cosπ15cos4π15-sinπ15sin4π15.

Q: What is the general solution of (sine – 2rcos0) dr + reos0 (2rsind + 1) d0 = 0 Orcose + r? sin² 0 =…

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Q: Find the equation of a cosine wave that is obtained by shifting the graph of y = cos x to the left 7…

A: We have to find the equation of a cosine wave that is obtained by shifting the graph of y = cosx to…

Q: sin 2x cos 3х dx

A:

Q: solve for 0 ≤ Θ < 2pi    ,                                            Θ = theta -cosΘ+sinΘ=1

A:

Q: 1) y = 3sin(x) 2) y = 2sin(3x) 3) y = cos(-)

A: “Since you have posted a question with multiple sub-parts, we will solve the first three subparts…

Q: 2 2. cos² ydy 1+sin y

A: The given integration is: I=∫cos2y1+sinydy   We know the common integral. ∫sinxdx=-cosx+C

Q: Suppose you are solving a trigonometric equation for solutions over the interval [0,2π)​, and your…

A: Given that the solution of trigonometry equation over the interval [0, 2pi) is

Q: = (0)1 %3D cos-(0) = %3D sin-(-V2/2) = arccos(1/2) = %3D %3D arctan(1) = %3D arcsin(1) =

A: Part 1,Given,           arcsin1

Q: π/2 sin (cos() sin() dx (Consider initially the first 2 terms)

A:

Q: Solve the trigonometric equation  cos(2θ)cos(θ)−sin(2θ)sin(θ)=−√3/2 for 0≤θ≤2π

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Q: a value of x that satisfies the equation sin 53° = cos (x %3D

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Q: Is the equation 2 sin2 0 – cos 0 + 4 = 0 possible ?

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Q: 5) Period of y= 2 cos x %3D

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Q: у" — 27у 3 0 y

A: Find the general solution using the characteristic equation  y"' - 27y = 0 Characteristic equation…

Q: cosh(2æ) – 1 Verify the identity sinh? (x) using the definitions of the hyperbolic functions.

A:

Q: 2. Convert r = -8 cos 0 into Cartesian equation.

A: r2=x2+y2 x= r cos theta y= r sin theta

Q: Mutiply    (cos theta  +3 )2

A: We have to find: (cos theta  +3 )2

Q: Find an interval containing a solution to the equation 2x = cos x. Use a graphing utility to…

A: We need to plot the graphs of y=2x and y=cos x and check where both the lines intersect.   The…

Q: The x2-4 dx can only be evaluated using trigonometric substitution technique. A True False

A:

Q: 5n 24. arccsc ( csc- 3 D. 8 25. cot(cot-1(-10)) E. 37 4 V95 26. sec-1 (- tan) 4 7 27. cos (cos-" (-)…

A: Given that:                      27. coscos-1-3828. tancos-1-71229. cossin-123

Q: 4. Find the Sine Function equation with: Amplitude = 5 Equation of centre at y= - 2 and Phase shift…

A: The understanding of trigonometric equation is required in order to understand it better.

Q: Find sin (2x)cos (2x)dx.

A:

Q: 1. Find the all real roots of the equation : cos(2x) - x/2 = 0, x in radians Use the Method of…

A: The given problem is to find the approximate real roots for the given function using False position…

Q: 1) B = cos 30 + sin² 0 tan 2x 2) y = 1-cot 2x 3) w = 2 csc(1 – 3x)

A: This question is taken from the derivative in which we have to find the derivative of the given…

Q: 3) Find the Frenet (TNB) frame for the function at the point (2, 5n,0). Hint: once you find T and N,…

A: Given that  r(t)=-2cos3t,5t,2sin3t The formula for T is, T=r'r', Take the derivative for r,…

Q: onvert to sine： y=-9.5cos (πx/5)+10.7

A: convert the following into sine

Q: 1. 3 cos x = x +1

A:

Q: /² sin ( cos() sin() dx (Consider initially the first 2 terms)

A: To evaluate the value of given integral. Use the identities: 1.sin A cos B=12sin(A+B)+sin (A-B)2.sin…

Q: 3t €7 cosut +3 Sinat

A:

Q: [cos 20-i sin20cos 30+ i sin301² [cos 40+ i sin40 ]³[cos 20-i sin2015 using De Moivre's theorem?

A: We have to solve given Questions.

Q: sec(x)cos(3x)=0 from [-pi/2, pi,2]

A: sec x cos 3x=0          [-π/2,π/2] sec x (4 cos3x - 3 cos x) = 0 [cos 3x= 4 cos3x - 3 cos x] 4 sec x…

Q: Use trigonometric identities to find general solutions of the equation. y"+y'+ y = sin x sin3x

A: We have given y"+y'+ y = sin x sin3x

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.