What Angle Has A Tangent Of 2
Tangent of what angle is equal to 2 can be determined if we find the tan inverse (arctan) of 2.... View Article
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If The Probability Of An Event Is P Then The Probability Of Its Complementary Event Will Be
If the probability of an event is p is P(E), then the probability of complementary of event p will be:... View Article
How Do You Find Volume From Area
For any three-dimensional solid, its volume is equal to the space occupied by it. We can evaluate the volume of... View Article
What Are The Fundamental Units
The fundamental units are the base units defined by International System of Units. These units are not derived from any... View Article
Is Fe2o3 A Covalent Or Ionic Bond
Iron oxide or ferric oxide has three oxygen atoms and two iron atoms. It is represented by Fe2O3. The oxidation... View Article
1 I By 1 Plus I Is Equal To
Solution: (1-i)/(1+i) = (1-i)(1-i)/(1+i)(1-i) = (1-2i-1)/2 = -i = cos π/2 – i sin π/2 Hence option (2) is the... View Article
Root 8 6i Equals
(1) 1±3i (2) ±(1-3i) (3) ±(1+3i) (4) ±(3-i) Solution: Let x+iy be the square root. x+iy = √(-8-6i) Squaring both... View Article
If Z I Log2 Root 3 Then Cos Z Is Equal To
Solution: Let cos z = (eiz+e-iz)/2 cos z = (e-log (2-√3)+elog (2-√3))/2 cos z = [(1/(2-√3))+(2-√3)]/2 = (2+√3+2-√3)/2 = 2... View Article
If Z 4 Less Than Or Equal To 3 Then The Greatest And Least Value
Solution: |z+4| ≤ 3 |z+1| = |z+4+-3| = |(z+4)+(-3)| ≤ |(z+4)+|(-3)| ≤ 3+3 ≤ 6 Greatest value is 6. |z+4|... View Article
If The Complex Numbers Z1 Z2 Z3 Represent The Vertices Of An Equilateral Triangle Such That Z1 Z2 Z3 Then Z1 Z2 Z3 Equal
Solution: Let z1,z2,z3 denote the vertices A,B,C of an equilateral triangle ABC. If O is the origin, OA = z1,... View Article
Let 1 Ix By 1 Ix A Ib And A B2 1 Where A And B Are Real Then X Equal To
Solution: Given (1-ix)/(1+ix) = (a-ib) Multiply numerator and denominator with (1-ix) (1-ix)(1+ix)/(1+ix)(1-ix) = (1-2xi-x2)/(1+x2) = [(1-x2)-i2x]/(1+x2) Comparing with a-ib, we... View Article
If Alpha Not Equal 1 Is Any Nth Root Of Unity Then S Equal 1 N Terms Equals
Solution: Given S = 1+3α+5α2 ..n Tr = (2r-1)αr-1 S = S = 2S1-S2 … (i) (denote the terms of... View Article
Common Roots Of The Equations Z 3 2z 2 2z 1 Are
Solution: Given z3+2z2+2z+1 = 0 ..(i) (i) can be written as (z+1)(z2+z+1) = 0 Roots are z = -1 or... View Article
The Value Of Sigma K 1 To 6 Sin 2 Pi K
Solution: (sin 2πk/7 – i cos 2πk/7) = -i( cos 2πk/7 + i sin 2πk/7) = -ie2πk/7 = -i( sum... View Article
The Complex Numbers Z1 Z2 And Z3 Satisfying The Vertices Of A Triangle Which Is
Solution: Given (z1-z3)/(z2-z3) = (1-i√3)/2 (z2-z3)/(z1-z3) = (1+i√3)/2 (z2-z3)/(z1-z3) = cos π/3 + i sin π/3 |(z2-z3)/(z1-z3) | = 1... View Article
Let Z Equal X Iy Be A Complex Number Whose X Y Are Integers
Solution: Given Put z = x+iy (x+iy)(x-iy)((x-iy)2+(x+iy)2 )= 350 (x2+y2)(2x2-2y2) = 350 (x2+y2)(x2-y2) = 175 = 25(7) x2+y2 = 25... View Article
For Complex Numbers Z1 Z2 If Z1 Eq 12 And Z2 3 Then Minimum Value Is
Solution: Given |z1| = 12 and |z2-3-4i| = 5 |z1-z2| ≥|z1| -|z2| |z2-3-4i| ≥ |z2| -|3+4i| |z2-3-4i| ≥ |z2| -√(32+42)... View Article
If Xn Cos Pi By 2n Then X1 X2 X3 Infinity Equal
Solution: xn = cos (π/2n )+ i sin (π/2n) eiθ = cos θ+i sin θ Here θ = π/2n x1... View Article
Let Z Equal Cos Theta I Sin Theta Then The Value Of Sigma N 1 To 15
Solution: Given z = cos θ + i sin θ = eiθ = sin θ+ sin 3θ+sin 5θ+…..+sin 29θ =... View Article
If X 1 X Equal Root 3 Then X Equals
Solution: x +1/x = √3 x2+1 = √3x x2 -√3x+1 = 0 Roots = √3±√(3-4)/2 = (√3±√1)/2 = (√3±i)/2 (√3+i)/2... View Article
