Question 7. Write z i sin 0) where r≥0 and - < 0 ≤ T. -4-4i in polar form z = r(cos 0+ =

Q: (a-B) show that cosa – cosß = -2sin+P) sin 2 2.

A: We have to show that the following results.  For this we can use some trigonometric results

Q: Express the number -5 in the form R(cos(0) + i sin(0)) = Reil where R>0 and 0 <0 < 2T.

A: rewrite -5 as -5=-5+0i comparing with z=a+bi a=-5 , b=0 R=a2+b2=-52+02=25+0=25=5 now…

Q: Write polar form of z=-2-i V5 (cos2.68 + i sin2.68) 5(cos2.68 – i sin2.68) V5(cos2.68 – i sin2.68) 5…

A: We are given the complex number : z=-2-i=x+iy⇒r=-22+(-1)2=5tan θ=-1-2=12Now, x=r cos θ&lt;0and y=r…

Q: Find the solution. (Dª+2D3 + 10D2)y =0. @y = c,e-+czxe¯+e"(e,cos3r +c,sin3x) y = (c,+c,)x+e*(c,cos3x…

A: To solve the given Differential equation.

Q: What is the second step to verifying the identity of the equation? 1+sec²0 = 1 + cos²0 sec²0 sec² 0…

A:

Q: pe of each polar curve. 2+2sin(@) 2+ 4 sin(6) 31 主典

A: Given  1) r=32+2sinθ 2) r=32+4sinθ 3)r=34+2sinθ 4) r=3

Q: Let z = 9(cos 2.3+isin 2.3). Write the following numbers in the polar form r(cos o + i sin ø), 0 < o…

A: Here, the given complex number is: z=9(cos 2.3+ sin 2.3) Comparing the number z with r(cos ϕ+i sin…

Q: Q2: Sketch the polar function r 3 6 cos 30 ,-n<0 < m

A:

Q: lim ze = -9 cos 3 + i9 sin 3. %3D Select one: O True O False

A: The statement is TRUE  The detailed solution is as follows below:

Q: the rectangular equation if r = 4 cos 0 + 4 sin 0

A: Given query is is to find the rectangular equation.

Q: উদাহরণ-9. যদি tan c হয় তবে প্রমাণ কর যে %3D - a

A: You need to find the values of sine and cosine of from the given value in the question.

Q: 4. Evaluate: sin (1+ 2j). Express in polar form

A:

Q: find wz and z/w anwer in polar form z=3(cos130 degrees+i sin 130 degrees) w=4(cos270 degrees+i…

A: We have given z = 3(cos130° + i sin 130°) w = 4(cos270° +i sin270°)

Q: What is the polar form of the equation? (x + 2)² + y² = 4 O r(r+4sin 0) = 0 O p2 = 4r cos O O r(r+4…

A: We transform the equation by putting the formula.

Q: (3+ i) (a) Evaluate 1+i (i) in the form of x+ yi , and polar form r(cos 0+isin 0). 1 (ii) Hence,…

A:

Q: cos (0.48-j0.38) express in polar form

A: we have to express cos 0.48-j0.38 in polar form: we know that cosx-jy=cosxcoshy+jsinxsinhy Now, here…

Q: Polar form of(-3,-3) is none of these O (3 V2,5 1/4) O (3V2,-5n/4) O (-3/2,5m/4)

A: Given:      Coordinates x,y=-3,-3 Converting to polar form r,θ:       r=x2+y2      r=-32+-32…