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

Q: 1) sin 9) tan-1 (-V3) 11) sin- 2

A: Given! 7)sin-1(-1/2) 9) tan-1(-√3) 11) sin-1(-√2/2). Repost the next parts.

Q: sin 4zdz 18. 16+ sin * 2-

A:

Q: 13 4. sec 8 = sin 6>0 5'

A: Given secθ = -135sinθ>0 Hence θ lies in the second quadrant We know that in second quadrant sinθ…

Q: 1 1+ sin 0 2 1- sin 0 ¯ cos² 0' Prove that 7 sin 0 + 5 cos 0 cos 0 sin 0 7 sec 0 + 5 csc 0. Prove…

A:

Q: cotA+tanA Prove that sec2A. cotA - tanA

A:

Q: number 2. Prove the identity: ( [tan] ^2 e - (sin] ^2 0) / ( [sin] ^2 e) = [tan] ^2 e

A:

Q: Sinh exp 2 ()- i sin 1 i sinh 1 -i sinh 1 -i sin 1

A:

Q: Give the coordinates of the harmonic conjugate of (–1, –1, 0) with respect to (1, 1, 1) and (3, 3,…

A:

Q: Sin 0= 4. tan 0>0 Part 1 of 3 (a) sin 20 = Part 2 of 3 (b) cos 20=

A:

Q: 2. Express z =-5 in trigonometric form.

A: The expression for the trigonometric forms is, ......(1) where,

Q: sec 0 +1 – tan 0 , tan 0+ sec0 –-1 Prove : = 2 sec 0 sec 0 +1 + tan 0 tan 0 – sec0 +1

A:

Q: 1 cos²0 1 sin 9 1 tan 8 + tan 8 + || || Trigono 1 sin² 0 cos²0 1 sin cos 0

A:

Q: sin^4x - cos^4x/sin^2x - cosx =1. prove the identity.

A:

Q: 9. Establish the identity 1- sec 0 tan 0 2 cot 0 tan 0 1- sec 0

A:

Q: Group (A) tane + sece -1 1+ sin® Q1/, Prove that Tane - sec® + 1 cose Q2/Prove that cos 17° + sin17°…

A:

Q: 21.8 sin (ß- 1.31)-50 +75.3e-B/3.77 = 0 using root-finding software.

A: Using root finding software

Q: Prove the identity 1+ tanz 1- tanz - t (-+ ) tan (

A:

Q: Establish each identity.

A:

Q: Prove: 1) 2) sec 0 + tan(-0) cot - cos(0) = sec 0 tan 0 1 cos x + sin x sin y = sin 2 3y 2 COS (²)…

A:

Q: Q.3) Prove that L-1 (coshat sinat + sinhat cosat) 1+4a4 2а

A: We have to solve given problem:

Q: a-X Tan" 1+ ax Differentiate

A:

Q: 4. Verify the identity: (sec 0 + tan 0) (sec 0 – tan 0) = 1

A:

Q: (a) (i) Use de Moivre's theorem to express cos 40 and sin 40 in terms of cos 0 and sin 0. 4 tan3 0 4…

A: Expand the expression:  x+iy4=x4+4ix3y-6x2y2-4ixy3+y4=x4-6x2y2+y4+4x3y-4xy3i Set x=cosθ and y=sinθ…

Q: sin(3θ) =3sin(θ)−4 sin^3(0)

A:

Q: Find all the roots, of 2=+1+V3j A =D/2 (cos +j sin-) - B z=V2 (cos (-+ka) +j sin ( + ka)), k=-1,0…

A:

Q: 3 tan 0 tan' 0 Show that tan 30 = 1-3 tan? 0

A:

Q: sin2 (4) %3D cos2 ( ) O csc2 () csc2 () cos2 ( 4)

A:

Q: tane+tana B: prove that tan(0 + a) 1-tanetana

A:

Q: 2 sin 0+sin 8-1 1+csc 0 2 tan 6 sin 0-tan 0 sec 8

A: Trigonometry

Q: 2 sin 20 3 sin 20 - 3 = 0

A: We use quadratic formula to solve for sin(2theta)

Q: Prove the identity 1+ tanz 1- tanz = tan (r

A:

Q: identities are most useful for proving that 2cosx = cos 2x +1? What two common

A: Using identities of trigonometric function

Q: 1+sin θ=(sec θ-tan θ)^2 +1

A: To evaluate theta.

Q: How do I prove that (cosecA-cotA)2 =(1-cosA)/(1+cosA)

A:

Q: sin ⁡ ( θ ) = 3/5  Describe all such points as an equation of the form

A: Given :sinθ=35. The objective is to describe all such points as an equation of the form.…

Q: 1+ sine tane + sece - 1 tane – sece +1 Prove that cose

A:

Q: tan^7(x)sec^2(x)-tan^7(x)   7tan^7(x) 9tan^9(x) tan^9(x) tan^2(x) tan^7(x)

A:

Q: Sinh exp i sin 1 -i sin 1 i sinh 1 -i sinh 1

A:

Q: sin θ = -4/5  ,3pi/2   4< θ < 2π Find cos(2θ).

A:

Q: Prove that 1+ sin 0 tan 0 cos 0 + cot 0. Prove that (tan 0 + cot 0)2 1 sin² 0 ' sec2 0 + =

A:

Q: 5. Restricting to the domain (0, ∞), let 1 1 = cos(=) sin(=)+= and 1 1 g(x) = (cos(÷) sin(÷)+ g(=) =…

A: Sine is a periodic function it dpes not approaches  any value as x approaches  to infinity

Q: 1+ sin 0 1- sin 6 Prove that (tan 0+ sec 0)2 Do NOT start your proof by assuming the conclusion.

A:

Q: tan + tan 15 10 5. Find the exact value of 1- tan tan 10 15 1 А. /3 С. 1 B. V3 D. undefined

A: Let x be an angle in a right-angled triangle and a and b be the measure of sides opposite and…

Q: 1+sec2xsin2x=sec2x. Verify the identity

A: To verify the trigonometric identity given below:

Q: 3元 4) sin 5元 5) sec 4

A: Given,          sin3π2

Q: sin2 (5) : O cos2 () csc2 ( ) O csc2 ( 4) O cos2 ( 4)

A:

Q: Sin 3x = 3sin x - 4sin'x

A:

Q: 1- sin 0 Prove that = sec 0 - tan 0 1+ sin e

A: Square on both sides of the given relation We get