if क f z₁ = 2 ( 65 30 +isin 30) and Z₁ = (Cos60 +isin60), Find the following Z₁ * Z₁ له الله چه

Q: sing the relation z=x+iy = rcosθ + irsinθ=re^iθ . Derive z^n = r^n(cosθ + isinθ)^n = r^n(cosnθ +…

A: The relation .The aim is to derive the expression .

Q: Which of the following gives /₁ O 5tanh-¹ (5x) + C Otanh-¹ (5x) + C Ocoth ¹(5x) + C 5coth-¹(5x) + C…

A:

Q: Find sin o

A:

Q: which of the following expressions is equivalent to: 3cot^2(t)/csc(t)   a. 3-3cos^2(t)/cos(t) b.…

A: This question is related to trignometry, We will solve it using trignometric identities.

Q: 4 6 Find 5 a ) da + C

A: Here we have to find,  I=∫-x3-4x+6x5-5xdx

Q: The value of cos0 from the following figure is 40 41

A: A triangle is a polygon having three sides and three vertices. Sum of interior angles of triangle is…

Q: Įsin x cos^(3/2) x dx * O -2/5 cos^(5/2) x + C O None of the choices -5/2 cos^(5/2) x + C O -2…

A:

Q: (종-272 27=) + ain G + 272) The simplified form of cos O V3 cos 27z + sin 27z V3 cos 27z + v2 sin 27z…

A: Given cosπ6-27x+sin(π3+27x)

Q: If z = 2 ( cos 2¥/3 + isin 2¥/3 ), then z^3=   i. 2 - i8√3 ii. -4 + i4√3 iii.-8-i√2 iv. -8 - i4

A: Using de-moivre's formula :

Q: L(2 cos? t} 2) 2(s-2) b) s(s2 +4) 2(s-2) c) s(s? -4) 2(s + 2) d) 4)

A: Evaluation of L2cos2t we know by trigonometry  cos2t=2cos2t-1cos2t=cos2t+12

Q: Determine L{"e3r cos(t-7)dr} 0 Select one: (8+3)(82+1) 8 (8+3)(82-1) 8 (8-3)(82+1) 8 (8-3)(82-1)

A:

Q: 8 410x-32+x2 cos2x 4 Find *: (a) y =

A:

Q: If the root of C.E. are (-2, -2, 0, ±2i) then yH = (a) A + Be-2x + Be-2* + Dcos2x + Esin2x (b) A +…

A: We have to find the following

Q: Find if y = tan- 5). Select one: A. 1-) В. 1+ (1 – 2)* C.d - 2 O D. I+ (1 - 1)* OE.+ (1-)

A: Given function is We know that derivative of tan inverse x is 1/1+x^2,so

Q: ZA'B'C' is the image of LABC following the reflec- tion of ZABC across line (. If mZA'B'C'= + 20 and…

A: Given: m∠A'B'C'=x5+20, m∠ABC=x2+5 We know that when we take reflection of a triangle across any line…

Q: Find the symmetric difference of {1, 3, 5} and {1, 2, 3}.

A:

Q: Use th Start! 1- cos 2x

A: Given:1-cos2x/cos2x To simplify we use some trigonometric properties

Q: Find the values of sec-1(-3)

A: Givensec-1(-3)

Q: Find dey if 2:t - t' ond y:t-t". dx

A:

Q: Write cos(2a) polynomial expression of cos(a). as a (a) -1+2 cos (a) (b)1+2cos²(@) (c)1-cos²(a) (d)…

A: Given cos(2α),

Q: The simplified form of cos ( - 5z) 5z) + sin 6 52) + sin (; + 52) O v3 cos 5x + v2 sin 5x O v2 cos…

A: This can be evaluated as:

Q: (e2cos2t)= s-2 (s-2) 4 Select one: True O False

A:

Q: the following exercises, model each slope. Draw a picture to show your results. 220, 4. 219. 221.…

A: In the question we have to find the equation of line and draw graph.   NOTE - As per bartleby's…

Q: 8. اثبت ان:i (2-i) (2+i) 25

A:

Q: Prove cos4x=8cos4x-8cos2x+1

A: To prove:- cos(4x)=8cos4(x)-8 cos2(x)+1