2 sin(-2 x) lim ثم أختر الاجابة ال 0.3) d x-0 4 sin (5 x)

Q: sin? 0 sin 2x tan´ x 2. limøseco 3. lim 0→0 1 – cos 40 4. lim- x→0 sin 3x 5. lim -

A: Solution

Q: 7. h(x) = tanx- tan 8. h(x) = 3 sec-x

A: we have been given the equations to differentiate w.r.t x

Q: 4. lim 2 sin 0+6

A: limθ->-∞2sinθ+6 We know that the range of sin is from -1 to 1 sin 90 is 1  and sin (270) is -1.…

Q: sin 3x + ax + bx3 lim %3D x3

A:

Q: 8 sin 3+ 5/ is equal to The number lim | sin(x) dx E. 5. 8 sin(x)dx 8 | sin(x) dx 3. 0 8 8. sin(x)…

A:

Q: 1. y = 3 sin x – 4 cos x 2. y = x³ tan x 3. f(x) = cos x 1+sinx 4. y = csc x cot x f(x) cin?

A:

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

A:

Q: Use series to evaluate the limits in Exercises

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

Q: y- y' cos x = y² cos x (1 - sin x)

A:

Q: 5. cot(2x)[2+csc(3x)] 0 x &R 6. tantx - tan2x=-V3(1+tan4xtan2x) xE[-n,"|

A: We have to find the solution in radian

Q: Q 3/ x-sin x A- Find lim,0 1-cos x.

A: Explanation and solutions is given below....

Q: () 1 (k) I-3 (1) sin(@)- sec2(0)

A:

Q: cos x lim z-n/2 sin (2x)

A: If limx→afxgx is in 00 form or ∞∞ form; then applying L Hospitals' rule we get:…

Q: e lim Secx-1 Sinx (-esux) 3}r® २5 ९६० 5x 2 lim ーD6 Sin5x of Sin4x. e lim メーD6 よ + tan 38

A:

Q: 1. حل المعادلة 0 sin 30 = sin لجميع قیم 0 x2 -2 lim 2. أوجد النهاية أن امكن 2- "ر

A:

Q: Evaluate the limit.

A: Given that, limh→0sin(2h)(1-cos h)h2 Because of the direct substitution of h = 0 into this, we get…

Q: secx - I 10.) sin*x = 11.) 1- CSC X =- 2tan x sec x %3D sec?x I+ CsC X

A:

Q: lim »0 sin(2t) tan(7t) is t2

A: Here we find the value limt→0sin(2t) tan(7t)t2

Q: e) lim 1-cost sin²)

A:

Q: lim-o t- sin 3t² 1-cos 2t

A:

Q: cos(x) lim 2

A:

Q: x3 + x2 ) lim x→-1 x+ 1| (i) ( 3 Vx2 +x +6+ Vx + 8 - 5x (ii) 6) lim x1+ x2 – x (iii) ( sin(3x)…

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

Q: lim 15 cos() x→0+ 7x

A:

Q: 2 lim (x + 6) sin(3x) cot (x² + 6x) X→0

A:

Q: sin 5z-sin 3z 14. lim,» +0 sin z

A:

Q: 4. sin 5. y = x ArcCC 1 + v1-x² 2+X 6. y = Arccot x + Arctan 1-2x >| ×

A:

Q: sin(4z) 7. lim I-0

A:

Q: 2 sin a-sin 2x limr x-sin x

A: use l hospital rule

Q: sin 0 – cos 0 lim 0→x/4 tan0 – 1 2(cos x)2 + 3 cos x – 2 lim 2 cos x – 1 y In y – y lim y»e In(y5) –…

A:

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

A: Trigonometric ratios

Q: sin x dy (2y Cosx + sin4 x) ax

A:

Q: 4.x (a) lim 10 sin 5x sin() (b) lim 5x sin 3x (c) lim 10 x2 tan 2.x

A: Read the following instructions once 1. Short method is provided at the end of the subpart (c)…

Q: y. x -. cos(- + cos(- 2 4 х — у, 2 sin(- 4 = cos x - sin y 2

A: Here, the objective is to prove the following: 2sinπ4+x-y2cosπ4+x-y2=cosx-siny

Q: sec x-1 sin x %3D secx+1 1+cos x

A:

Q: 5. Evaluate | (x² +1)* dx using trigonometric substitution as your first step (not a u-sub as your…

A: The solution is given below in the next step:

Q: sin-1(e* 2 lim V1 - e2x x→0-

A:

Q: domain of g(t)= sin(et-1)

A:

Q: sin(2h)(1 – cos h) h2 lim

A: Consider Then simplify the function

Q: 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…

A:

Q: 2x tan -1 I + COS (b) lim

A:

Q: x² – 9 2. lim x →- 3- x+3 (4 + h)² – 16 4. lim h-0 h sin2x 6. lim t tan³x

A:

Q: sin 7x 9. lim 9.h x→0 sin 3x

A: GIVEN limx→0sin7xsin 3x

Q: separable 9-X(2lnX+1) Sin y+ ycosy

A:

Q: tan(3z) lim 5z z-0 sin(n)(1-cos(h)) lim h-0 sin(h)(1-cos(h) lim h-0 h3

A:

Q: cos x 13. lim x-(7/2)* 1 – sin x e21 – 1 15. lim - -0 sin t 1 - sin 0 17. lim 0/2 1 + cos 20

A:

Q: cos2r- sin2x cos21 =-F(x)+C What is Fx)? =xp For COSX – sinư A 2. --cos 'x- cosT+-sin't 3 cos'x sinx…

A: I am going to solve the given problem by using some simple calculus to get the required result of…

Q: 3. lim (x – 1) sin ,= 0

A:

Q: lim cos xx x-0

A:

Q: lim sin(2z) = z-/3 %3D /3 2. 1/2

A: We need to find limx→π3sin2x

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.