2 sin(-2 x) lim ثم أختر الاجا أحسب الغاية التالية )0.3 sin (x ( 5 4 0.5 O O الغاية غير موجودة 1 O -0.5 O

Q: А. у%3D —3 sin (2х — 3) + 1 (2x G. у %3D2 csc(x — п) Н. у %3D csc х + 3 В. у %3D2 sin (x +-) — 4 C.…

A:

Q: funetion:- sinty -X 1-COS X tank t cos X メ-secK X zo Dcontinous at Xz0 and equals Dcontinous at X=0…

A: Given  f(x) = sin2x - x1 - cos x,x<0tan x + cos xx - sec x,x≥0 We have to check the continuity of…

Q: 1. y = sin(x) tan(x) 2. y = cos (x) 3. y = cos(tan(x)) 4. y = tan(x) A. y' = -3 cos (x) tan(x) В. у…

A:

Q: Complete

A:

Q: cos (x sin )=√₁ (x)+2 J₂ (x) cos 26+2 J₁ (x) cos 44+... sin (x sin )=2 J₁ (x) sin +2 J, (x) sin 36 3…

A: Using generating function of Bessel functions

Q: sin x+cosX Differentiate y = %3D sin x-cos x 2 А. 1-sin 2x -2 В. 1+sin 2x -2 С. 1-sin 2x 2 D. 1+sin…

A: Given,  y=(sinx+cosx)/(sinx-cosx)

Q: { 1/(x + 2) , x2 , sin(x – 1)/(x - 1) , x 1. y = F(x) =

A:

Q: 5. lim tan x cos y = 1 (x,y)→(,0)

A: To show :  lim(x,y)→π4,0tan x cos y = 1

Q: sin(x)=−0.2cos(y)=0.4tan(z)=5.5 sin(−x)= 0.2cos(−y)= 0.4tan(−z)= -5.5 What does…

A:

Q: sin u csc u - cos u = sin u 29. (sec 0- 1) (sec 0 + 1) = tan e 31. (sec 0 + tan 0) (sec e - tan 0) =…

A:

Q: sec (In x) + sec2(In x) tan(In x) 2х Given: dx Find: du tan(in x) 2х sec³(In x) + sec²(In x) sec(in…

A:

Q: tan x + i tanh y 1- i tan x tanh y 18. tan z = tan(x + iy)

A: We have to prove

Q: lim (x,y)→(0,0) r sin² y + y sin² a x² + 3y²

A:

Q: How to avoid loss significant figures : (i) 1- cos(x), x is near 0. (ii) (v1+x² (ii) x - sin(x), x…

A: (i) Let,  f(x)=1-cos(x), x is near 0.  To avoid loss of significant figures,We can replace cos(x) by…

Q: sin(x)cos(2x)sin(3x) dx A B D sin(3x) cos(3x) sin(2x)cos(2x) sin(2x) + + 12 8 sin(3x)cos(3x) 12 +…

A: We have to find integration of given trigonometric term.

Q: EXAMPLE:- Method of variation of parameters. Solve the nonhomogeneous ODE %3D sec X COSX

A:

Q: 10. y = 5x2 + tan(x) 10x-sec2(x)) y' : 2/5x²+cot(x) a. o b. y' = 10x+sec²(x)) 5x²+tan(x)…

A:

Q: cot2 x+1 2. sec(2a) 11 cot2 x - 1 1

A: We will start with the right side. Replace cot x by cosx/sinx Then use LCD to add or subtract…

Q: sin x cos x – tan x cos² x dx cos x cos? x sin x dx cos3 x 16. = sec x dx + cos x Let u = cos x ; du…

A: It is given that    ∫cosx-tanxcos2x dx We have to evaluate it.

Q: Using appropriate methods to show that 1. 5x2 + 3x dx x(x + 2)2 1 In |a|+ 6 ln |x + 2|+ (x + C. ++2)…

A: As per the company guidelines we can solve first three parts. I hope that the given solution will…

Q: tan6(x) cos4(x) sin²(x)sec³(x) [7sin²(x) + 9cos²(x)] + C A 63 tan²(x) [7tan²(x) +9] + C B 36 Ⓒ…

A:

Q: 14) f' (x) =(sin 3 x)'=, A) – 3(cot2 x) csc2x C) 3(tan2 x) sec2x By Power Rule B) – 3 sin2 x cos x…

A:

Q: f-\(x) = sin='(x) а. 2'2 f-l(x) = cos-'(x) (-) b. 2' 2 f-|(x) = tan¬'(x) c. [0, n] f-(x) = cot"(x)…

A: This is a problem of fundamentals of trigonometric identities. Please find the solution below.

Q: ation (1+xcos 2y)dr-x'sin 2 ydy = 0. %3D

A:

Q: V1+ cos x + v1- cos x X =-+-,0<x<. 4 2 an 1+ cos x - V1- cos x - cOS X VI

A:

Q: 6. h(x) = 5x sin-1x 7. h(x) = tan x – tan-i x 8. h(x) = 3 sec-x 9. h(x) = 14 cot"x+ 12 cos-x 10.…

A: Since you have posted multiple questions we solve first question for you  To get the solution of…

Q: sin 5z-sin 3z 14. lim,» +0 sin z

A:

Q: 4. lim 0 sin ar 5. lim 0 sin br

A: From the given data:

Q: 5. Interval 0 <x<n, function, f(x) = cos x.

A:

Q: 2 sinθ u - sinθ - 1 = 0,       0< u<2π

A:

Q: 6 x° cos(x) dx =. 6 x³ sin(x) + 18 x² cos(x) – 36 x sin(x) + 36 6 x³ sin(x) – 18 x² cos(x) – 36 x…

A: Integration by parts  ∫udv=uv-∫v.du

Q: lim X+x cos x 1- X → 0 sin x cos x 2 - lim(x + 3) x→2 |x + 2| x + 2 sin 5x lim X - 0 sin 4x 3- lim…

A: we have to find the following limits

Q: 6 sin° x+ cos° x dx sin xcos x Evaluate :

A:

Q: lim sin(2 cos(z) Cos(z) 2

A: Limit problem....

Q: sin x – cos r cos z cos 2x sin x + cos x 1+ sin 2x

A: Given, sinx-cosxsinx+cosx We need to prove that the value of sinx-cosxsinx+cosx is -cos2x1+sin2x…

Q: f sin 3x cos 5x dx ¹29 sin 3x cos 5x + cos 3xsin 5x + C 16 sin 5xcos 5x + C O. 16 sin 3x cos 3x + O…

A:

Q: Confused on this.

A: topic - trigonometric identities

Q: lim 0 2 + sin(okr }) k=1 6 O A. J(x + sin(2xx)) dx 6 O B. J(2x + sin(2xx)) dx 3 O C. J(x +…

A: Definite integration limit as sum

Q: 1/(x+2), x² , | sin(x – 1)/(x – 1), x 1. 6. y = F(x) = %3D

A: According to company policy we are allowed to provide solution for only first 3 sub parts. If you…

Q: 21 y=-5x Degree: Sign of LC: as x→-0, y→

A:

Q: sin 3x .cot 5x lim x→0 X cot 4x 2 t+ sin t lim t + co s t

A:

Q: lim cos (x) - Cos (y) 3. cos cy} Sin (e) - sinly'. பி Sin(x)

A:

Q: 2x² sin (x²)dx = V(1-x*) Select one: a. - sin-(x²) cos(sin(x²)) + x² + C b. - cot-(x?) sec(sin-(x²))…

A:

Q: Simpson Rule. 2- x, (1, 3), n=4 3- x.sin(x), (0, 2), n=6 4- 1/(1+ x³), (0, 1), n=2, 4 ---

A: Since you have post multiple questions, according to our guideline we can solve only first one, or…

Q: sec3(In x) + sec²(In x) tan(In x) dx Given: 2x Find: du V sec (In x) + sec²(In x) dx tan(ın x) dx…

A: On solving this we will get

Q: (cot2 x + 1)(sec² x – 1)

A:

Q: sin 0 d) lime tan 0 sin z-cos z + 1 e) lim, 0 3z

A:

Q: lim(x,y)-&gt;(0,0) = (1+x2+y2-cos(x2+y2))/(x2+y2)

A:

Q: 1- sin(x) A cos(x) +x+C COS 1+ sin(x) B -x+C cos (x): cos(x) -+C cos(x) – x 2cos(x) D 1+ sin(x)

A:

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.