Let z be a complex number. Then tanh(z+Ti) is equal to * cothz -tanhz None of these tanhz -cothz

Q: Find all complex numbers z satisfying 4 = -81

A: Find all the complex numbers z satisfying z4= -81

Q: If zisa complex number satisfying |z-1=1. z-2 Then provethat-i tan{arg (z)}

A:

Q: If a complex number z satisfies z = z-1, what can be said about the number? Are con Nay/ Say that…

A:

Q: Suppose z is a complex number that possesses a fourth root w that is neither real nor pure…

A:

Q: If z,,z, are two complex numbers then: ||z.|-|z2||>|z,-z z. +z_ s z +z]. z +z_ = z +/z

A:

Q: Let z be a complex number. Then cot(5z-pi) = cot(5z)?

A:

Q: B- If x+ 2 cos0 prove that x" +2 cosro by used complex number.

A: we have to show that the following

Q: Let z be a complex number. Then i(cosh(3z) + sinh(3z)) a, ie3z b. ie-3z с. е 3г

A: The given expression is icosh3z+sinh3z where z is a complex number.

Q: let 2=x+iy be a complex number soch that coshe hen Im(tanhe) is equal to sinhycoshy sinh?x+cos²y

A:

Q: When a complex number z is written in the polar formz = r(cos θ + i sin θ), the nonnegative number r…

A: Given- When a complex number z is written in the polar form z=rcosθ+isinθ, the nonnegative number r…

Q: 2Q Express the complex number 1+ 3i in the form x + yi, where x and y are real numbers. 1-2i

A:

Q: Pick two complex numbers (like a + bi and c + di) and consider if the following statement is True or…

A: Set of pure imaginary numbers

Q: The conjugate of complex number z satisfy: Oz+z=1 Oz-z=0 Oz-z=2ilmz | Oz+z=2Rez

A: let's consider a complex number , z=Re(z)+i Img(z)  i.e z=x+iy

Q: Let a be a complex number that is algebraic over Q and let r be arational number. Show that ar is…

A:

Q: Let z be a complex number. Then coth(2+7ti) is equal to cothz -cothz tanhz None of these -tanhz

A: Solution

Q: Let z be a complex number. Then coth(2+Ti) is equal to -tanhz O None of these O -cothz O cothz O…

A:

Q: p and q are complex numbers such that pl = 7√3 and lp + ql = 12√2. - On what interval must q fall…

A: Use  Cauchy inequalities and solve the question.

Q: Suppose z is a complex number that possesses a fourth root w that is neither real nor pure…

A:

Q: How many complex numbers z with |2| = katisfies the equation 2 %3D

A: z=1⇒z2=1⇒zz¯=1⇒z¯=1z

Q: a) Let a complex number z =-5i+3. Find in the standard form x+ yi . IN

A:

Q: Let z be a complex number. Then Im(-iz+1) = * O =liz-1| None of these O zliz-1| O sliz-1| OOO

A: Let z be complex number then

Q: Let z be a complex number. Then coth(2+m) is equal to * Ocothz O cothz O None of these tanhz, O…

A:

Q: If 2 complex numbers z, and z, have the same modulus then they must be equal. Select one: O True O…

A: Let two complex numbers 2+i and  z1=2+i=22+12=5z2=2-i=22-12=5

Q: Let z be a complex number. Then coth(z+JTi) is equal to -tanhz O None of these tanhz cothz -cothz

A:

Q: Which complex numbers z satisfy z = z? Explain.

A:

Q: bers are conjugate. If z, and z2 are two non-zero complex numbers st jal arg (2) ) - arg (z2 ).

A: Since we know that, | Z1 + Z2 | = |Z1| + |Z2| only when the the point Z1 , Z2 and origin are…

Q: Let z be a complex number. Then coth(2+ Ti) is equal to None of these tanhz -tanhz oothz

A:

Q: Describe all complex numbers z such that V3

A: Given that, zz+zz=3 Take z=x+iy So, z2+z2zz=3x2-y2+2ixy+x2-y2-2ixyx2+y2=3

Q: Let z be a complex number. Then coth(2+ Ti) is equal to O None of these O -cothz O cothz O tanhz O…

A:

Q: Let z be a complex number. Then cot(5z – n) is equal to

A: Since solve the first question for you. If you want any specific question to be solved then please…

Q: complex numbers.

A:

Q: Let z be a complex number. Then tanh(2+JTi) is equal to cothz -cothz None of these -tanhz O tanhz O…

A:

Q: Let z be a complex number. Then coth(2+ Ti) is equal to -cothz tanhz O -tanhz O None of these

A: I have solved bothe examples for first question first option is correct And for second question last…

Q: If a complex number z satisfies z2* = 2-1, what can be said about the number? if the fonrepleziott å…

A:

Q: Let z = 3 – Ai, w = 1+ 2i be complex numbers. For both z and w, what is the: • Real part • Imaginary…

A:

Q: Let z be a complex number. Then coth(2+Ti) s equal to * ● -tanhz O None of these ) -cothz O cothz O…

A:

Q: Suppose Z, and Z, are two given complex numbers. Construct graphically a. 3Z1- 2Z2 b. (1/2)Z,…

A: Suppose complex number Z1=a1+ib1=2+3i and Z2=a2+ib2=-1-2i (a) given complex number 3Z1-2Z2…

Q: Let z be a complex number. Then the solution(s) of sinhz+coshz=e is (are) * does not exist z=nti+1…

A: Given that z is a complex number. we have to find such z so that                              sinh…

Q: Let z be a complex number. Then sin(3z)-i is bounded in C. * O True O False

A: Assume sin3z is bounded. We know that sin3z is analytic on C, that is sin3z is an entire function.…

Q: Write the complex number in polar form with the argument detha in domain [0. 360 degrees) z=9

A: For a Complex number, Z=a + bi the polar form is given by:

Q: Let z be a complex number. Then the solution(s) of sinhz+coshz=1/e is (are) * Z=-1 does not exist…

A: Given, z be a complex number. we need to find the solution of sinhz+coshz=1e

Q: Let z be a complex number. Then tanh(2+ Ti) is equal to * cothz O -tanhz -cothz None of these O…

A: according to bartleby guideline, I can solve first question...

Q: Let z be a complex number. Then Im(-iz+1)= O None of these O sliz-1| =liz-1| O zliz-1| O O O

A: Given problem is :

Q: Q/ State and Prove the integral formula for the derivati ves Complex number

A:

Q: p and q are complex numbers such that |a| = 4√5 and lp + ql = 9√/2. - On what interval must lp fall…

A:

Q: Let z be a complex number. Then coth(2+ Ti) is equal to None of these -tanhz tanhz cothz -cothz

A:

Q: det f be map sending each complex number る→ Show that ((7,7. よ( S()

A: The detailed solution is as follows below :

Q: Let z be a complex number. Then cot(5z-pi)=coth(5z)?

A: According to the given information, it is required to check whether the given statement is true or…

Q: Exer. 21–46: Express the complex number in trigonometric form with 0 so<27. 25 2V3 + 2i 4 cis 37 29…

A: Given: The complex number 25) 23+2i. 29) -20i 34) -5.