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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

sin⁡A+sin⁡B+sin⁡C=4 cos⁡(A/2)cos⁡(B/2)cos⁡(C/2), cos⁡A+cos⁡B+cos⁡C=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

Theory of Equations- occurrence of COMPLEX ROOTS in CONJUGATE PAIRS # Irrational roots in pairs

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