2) DISCUSS The Contmuyo f Sin TX %3D

Q: If y = tan-1 xy and (x = 2, y = 3) y will be equal to?

A: See the attachment

Q: par y) В. х2 + у2 С. sin (3x — у)

A: Which of the following equations are solutions to the partial differential equation

Q: Solve the DE: tan xsin y y'+(3 tan x-2 cos y) sec x=0

A:

Q: y = Arctan(sec (3x)) +ncot(2x)

A: Given: y = tan-1sec3x + πcot2x To find: The value of dydx

Q: If y = tan?[sin³e]? y' will be equel to 2.834 × 10-3 at 0

A: Given: y=tan2[sin3θ]To find the y'=? at θ=π6

Q: Question 3 Evaluate the integral. 25 cot2x dr sin 2x Solutiont

A:

Q: 1. S[3 + tan(4x²)J²xdx

A:

Q: sec(θ)=11/3

A: Please refer to the image below

Q: Q3) Ify = in[sec 8 + tan 8) find

A:

Q: 28. tan (2x) sec (2x) dx

A: follow the procedure given below.

Q: S sec²(4x)(3 – tan(4x))³dx

A: Given integral is ∫ sec24x3-tan4x3dx.

Q: Evaulate the intergral: ∫−10sec^2(x)tan(x)dx

A: Consider the given integral:

Q: b) cos(-z)=?

A: In the question we have to find the angle of cosine which is lying in third quadrant as cosine is…

Q: 2. 1.5 sin(3t-

A:

Q: In [tan (5 + )| +o sec x dx 4 2

A:

Q: Find if, y - x = sin(xy)

A: In this question we will use differentiation property for solving this question and after that we…

Q: If y = tan¬1 xy and (x = 2, y = 3) y will be equal to?

A: If y=tan-1xy  and x=2, y=3 We need to find the y'. Formula for  y' is, y'=11+xy2×x=x1+xy2

Q: S(4 sec x + 3 tan x)²dx

A: We will solve the problem

Q: 4 sin (3z) dr

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Evaluate xcos'2x sin 2xdx 3.

A: To Evaluate:   Concept: Integration By Parts

Q: (A) ftan (5x)dx dx √9-4x² (C) [sin 6x cos7x dx

A: According to new guidelines if a question contains more than 3 subparts we have to solve only 3…

Q: | 6. Use a trigonometric substitution to evaluate x³√x²-4 dx.

A: We will find integral using  trigonometric substitution.

Q: Evaluate (a) ſ In(2x + 2)dx /3 (b) [ sec'3x tan 3x dx

A: Please see the answer in step 2

Q: if f(x) = (sin¬'(6x + 5))', then %3D

A: Given,          fx=sin-16x+57

Q: Differentiate y = (1+ sin* (æ²)) °. 3 8.

A:

Q: If tanh(x)=5/13, what is the sinh(x)?

A: Answer is sinhx=5/12. Explanation is given below..

Q: 6. 1 %3D 2tanx secx - tanx secx + tanx

A:

Q: 1 + tan2x=sec2x partiendo de la identidad cos2x+sen2x=1

A:

Q: In(arctan(x)) da 1+ x² 1

A: Given that a integration and we solve this integration by using general formula of integration.…

Q: 2. S sin 2xcos5xdx

A: To evaluate:∫sin2xcos5xdx

Q: 1. Evaluate 4 (sec²x tan²x ). dx

A: Use product rule of differentiation du·vdx=vdudx+udvdx. Use chain rule of differentiation…

Q: 1. Evaluate (sec²x tan²x ). dx

A: To find dsec2x tan2xdx Given function is y=sec2x tan2xwe know that, sec2x =1+tan2xthen…

Q: 7/3 tan'x secºx dx 30.

A: since you have posted multiple question in this question which are not interlinked so i have solved…

Q: sečxdx ztanx 5-9tarix ansi sin 2

A: Solution is done in step 2

Q: 1 ,-(x-a)/b dx a

A:

Q: Evaluate: tan( 4x- -In |cos (4x + 3)|+C B -In |sin(4x + 3)|+C -In |cse (4x + 3)|+C -In \sec (4x +…

A: the given integral,        ∫tan(4x+3) dx

Q: SAT/2) [cosx/(1 + sinx)dx = 1

A:

Q: (8) If fCx) = 3x*- +4X +1, Sind

A:

Q: 5. 4 f sin + 2zdz

A:

Q: If y = tan-1 xy and (x = 2, y = 3) %3D %3D y will be equal to?

A: Given: y=tan-1xy To find y' at x=2 and y=3. Solution: Chain rule of differentiation states that:…

Q: 4). | (5 sin 2x) dx = 2

A:

Q: 7x sin 4 %3D nswer, including any

A:

Q: 2. Sin 2x dp X UIS 6.

A:

Q: tan(xy') = 3x + 5y

A:

Q: Let y = tan(5x + 6). %3D

A:

Q: 2. S[ tanx- Secx]

A:

Q: Use the Substitution Rule to prove that∫sin2ax dx =(x/2) -(sin(2ax)/4a )+ C

A: Given:∫ sin2 ax dx

Q: Evaluate: tan(4x +3)dx A 4 A -In |cos (4x + 3)|+c B -In |sin(4x + 3)|+C 1 (c) -In |csc (4x+3)|+C D…

A: Integral calculus is the fundamental discovery was the link that exists between this and the…

Q: 5- y = 1+sin(4x2 + 2)

A: Note - As per our guidelines we will solve first question only and rest will reposted.  ddxxn =nxn-1…

Fundamentals of Trigonometric Identities

Trigonometric Identities are the equalities that involve trigonometry functions and hold for all the values of variables given in the equation.