Find |xV9x? +1 dx by using the trigonometric substitution of 3x = tan 0.

Q: 4. Use the power-reducing formulas to write sin?xcos²x in terms of the first powers of cosine.

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Q: find the exact value tan[2cos-1 (1/5)]

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Q: If r=In(sin2r), then dr is equal to

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Q: 1. Evaluate √2 √4x² dx using a trigonometric substitution.

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Q: Evaluating √√9-x² dx using trigonometric substitution will lead to: 57/2 A 18 "/2 cos²0d0 35*1/2 B…

A: ANS: B

Q: Evaluate dx 1²√√²-49) SV x>7, using a trigonometric substitution.

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Q: The integral [₁ face 8 dx S can be transformed to which of the following when trigonometric…

A: We have to solve above integral

Q: Express y in terms of x if the inverse sine of x is equal to the inverse tan of y.

A: Given sin-1x=tan-1y.  Assume θ=sin-1x so sinθ=x. Therefore using identity sin2θ+cos2θ=1:…

Q: 3. -2x sin 3x dx

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Multiply. (cos(θ) + sin(θ))2

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Q: What is the period of G(x) = 5 sin(3x - 3 T)? %3D 2pi 2pi/3 2pi/5

A: Given that: G(x)=5sin(3x-3π)

Q: Solve the following integoal *Sin9x dx

A: Integration by parts: The integration by parts formula is given by, The given integral is, Here,…

Q: Show that 7 sin? ædx L' cos? ædx

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Q: Use an addition or subtraction formula to find the exact value of sin165∘=A√(B√−1)4

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Q: 1, Solve for o 0-2T (a) sine 2 W cos 28 = 8- %3D O Zsin e- =o - omis ce)

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

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Q: Which of the products below is equivalent t sin (4x) + sin (6x)?

A: It is formula of sinA + sinB.

Q: dx If x2 - 2x – 4 is solved by trigonometric substitution, which of the following substitutions is…

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Q: Find the exact value of tan15°. 4 2+ /3

A: Exact value of:                            tan(15°)=?   We use the trigonometry formulas to find the…

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

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Q: Find the e and simplify whenever possible. dx 1. ут 1-cos 4x sin 4x

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: ow that the equation 2x – 1– sin x 0 has exactly one real root.

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Q: Evaluate sin(9æ)cos(3x)dæ.

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Q: The following are solutions of sin2x+sinx=0 EXC.

A: Given,        sin2x+sinx = 0

Q: 4. cos50 = sin

A: find  cos50=sin ....... i.e. cos 50=sinx find out x value

Q: Evaluate f cos xV100 – sin?x dr using tables after performing the substitution u = sin x.

A: Given: I=∫cosx100-sin2xdx for evaluating given integral, in given integral we substitute sinx=t…

Q: Evaluating √9-x² dx using trigonometric substitution will lead to: -3 A 355/20 cos²0de 0 **/2 B Ⓒ 18…

A: Evaluate using trigonometric substitution ∫-339-x2dx=?

Q: Use an addition or subtraction formula to find the exact value. 1. sin15° 2. cos 12 3. tan 75°

A: 1.Sin15o sin(15°)=sin(45°-30°)              =sin(45°)cos(30°)-cos(45°)sin(30°)…

Q: Use an addition or subtraction formula to find the exact value of VA(VB + 1) 19 sin 12 4 A В -

A: We are given that., Sin (19π/12) = - [√A(√B+1)]/4 We have to find the value of A and B A = ? B = ?

Q: expand the formula for sin(A+B)

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Q: Using appropriate trigonometric substitution, dx XV9 — х2 is transformed to

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Q: Evaluate in degrees without using a calculator.      d. sin−1(1)

A: Given problem:- Evaluate in degrees without using a calculator.        d. sin-1 (1)

Q: Evaluate | (1-cos3x)sin3x dx using the method of substitution a. 6. b. С. d. O b O C 115 115 157

A: As we know that the power rule: ∫xndx=xn+1n+1+C ;n≠-1   From the given problem:…

Q: Evaluating √9-x² dx using trigonometric substitution will lead to: [/2cos²0do (A) 18 9[*/ cos²0d0 B…

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Q: Evaluate the following using the TRIGONOMETRIC SUBSTITUTION METHOD: 1.5 dx

A: Given: I=∫dxx2x2+4 For evaluating given integral, we substitute x=2tanθ…

Q: Find sin 2x, cos 2x, and tan 2x if tanx and x terminates in quadrant III. 1/2

A: NOTE: Refresh your page if you can't see any equations. . and the angle is in the third quadrant…

Q: Se sin 4m Cos 4mdm (3)

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Q: Find the principal 5th root of 50 (cos150° +i sin150°).

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Q: If fx= cos³4x Sin 4x,then F(x) + C is ?

A: Consider the given function. fx=cos34xsin4x Now, find the integration of the function.…

Q: in

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Q: Find (a) sin 2' (b) cos , and (c) tan 2 - 2 13 csc 0 = and 90° <0 < 180° %3D 12

A: cscθ=1312 and 90°&lt;θ&lt;180°find,a) sinθ2b) cosθ2c) tanθ2

Q: Exer. 15–16: Use half-angle formulas to find the exact values. 15 (a) cos 67°30' (b) sin 15° (c) tan…

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Q: Evaluating 9-x² dx using trigonometric substitution will lead to: A of th (A) cos²0d0 [*/ cos²0de Ⓒ…

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Q: Find the period of y = -5 cos(2x). 2 元 О 5л O 2n

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Q: Find all solutions to tan 3x = 1, if x is measured in radians withexact values.

A: Find all solutions to tan3x=1.

Q: Find the exact value of tan (–1740)°. 2 1

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Q: If sin A = − sqrt65/65 with 180° ≤ A ≤ 270°,  find cos 2A and cos A/2.

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