DE MOIVRE'S THEOREM(mathematics -IIA)
10 videos • 218 views • by Mana study
1
If 1,w,w² are the cube roots of unity, then prove that 1/2+ω+1/1+2ω=1/1+ω..|| DE MOIVRE'S THEOREM ||
Mana study
Download
2
If A,B,C are angles of a triangle ABC such that x=cisA,y=cisB, z= cisc, then find the value of xyz
Mana study
Download
3
Find the value of the following (i)(1+i√3)³(ii)(1+i)¹⁶(iii)...| Demoivre's theorem | #intermediate
Mana study
Download
4
If 1,w,w² are the cube roots of unity, then find the values the following(i) (1-w+w²)³(ii).#interIIA
Mana study
Download
5
If n is an integer then show that (1 + i)²ⁿ + (1 - i)²ⁿ =2ⁿ⁺¹cosnπ/2 . | De moivre's theorem | inter
Mana study
Download
6
If n is an integer then show that (1 + i)ⁿ + (1 − i)ⁿ = 2ⁿ⁺²/²cos(nπ/4) | De moivre's theorem | 12th
Mana study
Download
7
If α,β are the roots of equation x²-2x+4=0 then positive integer n show that αⁿ+βⁿ = 2ⁿ⁺¹cos(nπ/3)
Mana study
Download
8
If 'n' is an integer then show that (1+cosθ+isinθ)ⁿ+(1+cosθ-isinθ)ⁿ=2ⁿ⁺¹cosⁿ(θ/2)cos(nθ/2) Demoivre
Mana study
Download
9
Show that one value of ((1+sin(π/8)+icos(π/8)/(1+sin(π/8) - icos(π/8))⁴/⁸ = -1 |DE MOIVRE'S THEOREM
Mana study
Download
10
if x=cisθ, then find the value of (X⁶+1/X⁶) || DE MOIVRE'S THEOREM ||#intermediate
Mana study
Download