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vikram angala
Area of Triangle | Properties of Triangles | Trigonometry | ∆= area of triangle = 1/2 bc sin A
Half angle formulae | Properties of Triangles | Trigonometry |sin(A/2) , cos(A/2) and Tan(A/2)
Tangent Rules | Napier's Analogy | Law of tangents | properties of Triangles | Trigonometry |
COSINE RULE #Properties of triangles| LAW OF COSINE | Trigonometry | Solution of Triangles | CONCEPT
Properties of triangles| SINE RULE |LAW OF SINE | Trigonometry | Solution of Triangles | derivation
sinA+sinB+sinC=4 cos(A/2)cos(B/2)cos(C/2), cosA+cosB+cosC=1+ 4 sin(A/2)sin(B/2)sin(C/2)
If A, B, C are angles in a triangle, then cos 2A + cos 2B + cos 2C = -1 – 4 cos A cos B cos C
If A, B, C are angles in a triangle, sin 2A + sin 2B + sin 2C = 4 sin A sin B sin C# Trigonometry
If ω is a complex cube root of unity, then sin[(ω^10+ω^23 )π-π/4]= | cube root of unity concept
If x=-5+4ⅈ then x^4+9x^3+35x^2-x+4= | complex numbers #IIT JEE questions
If (1-ⅈ)^2n/(1+ⅈ)^2n+1 is real number, then| IIT JEE COMPLEX NUMBERS Questions# iota powers
The complex numbers sinx + i cos2x and cosx i sin2x are conjugate to each other for |COMPLEX NUMBERS
CAT Questions| A club has 256 members of whom 144 can play football | If the population of a town p
Theory of Equations- occurrence of COMPLEX ROOTS in CONJUGATE PAIRS # Irrational roots in pairs
procedure to find Multiple roots | how to find Repeated roots of a polynomial equation | IIT JEE
Solve x^3-3x^2-16x+48=0,(given that the sum of two roots is zero)then Find condition x^3-px^2+qx-r=0
Equation whose roots are α^2+β^2,β^2+γ^2,γ^2+α^2 | prove that Σ(α-β)(α-γ)=9a | roots are Σ(α-β)^2
Synthetic Division part2| QUADRATIC DIVISOR |Method of dividing a polynomial by Trinomial | IIT JEE
Synthetic Division part1 | method of division of higher order Polynomials |Theory of Equations |
Solved problems on theory of equations |topic: relation between roots and coefficients| IIT JEE CBSE
Find numbers that are greater than 4000 which are formed using digits 0,2,4,6,8without repetition
Solve x^9-x^5+x^4-1=0 and x^11-x^7+x^4-1=0 | De-Moivre's theorem |nthe root of unity | IIT JEE
If 1,ω,ω^2 are the cube roots of Unity, then find the roots of the equation(x-1)^3+8=0 #IIT JEE
If z^2+z+1=0 , then prove that (z+1/z)^2+(z^2+1/z^2 )^2.....(z^5+1/z^5 )^2+(z^6+1/2^6 )^2=12 #IITJEE
show that (P+ⅈQ)^(1/n)+(P-ⅈQ)^(1/n)=2(P^2+Q^2 )^(1/2n)⋅cos[1/n〖tan〗^(-1)〖Q/P〗 ] and (x-1)^n=x^n
find the common roots of x^12-1=0 and x^4+x^2+1=0|DeMoivre's theorem common roots of x^15=1&x^25=1
Theory of Equations | relation between coefficients and roots of polynomial equations | IIT JEE
The exponent of 12 in 100! | the exponent of 12 in 100 factorial | IIT JEE mains important question
Identity and Equation | Difference Between Identity and Equation | Identity and Equation examples
Show that one value of [(1+sin〖π/8〗+ⅈ cos〖π/8〗)/(1+sin〖π/8〗-ⅈ cos〖π/8〗 )]^(8/3) ⅈs-1 #iit jee