In this class I'll be there to guide to cover as much portions of Trigonometry and Trigonometric Identities as stated in the curicculum of CBSE, CICSE and State Board.

The course consists of the following:

1. Trigonometry:
   • Using Identities to prove simple algebraic trigonometric expressions

   sin²A + cos² A = 1
   1 + tan² A = sec² A
   1+cot²A = cosec²A; 0 ≤ A ≤ 90°

   • Heights and distances: Solving 2-D problems involving angles of elevation and depression using trigonometric tables.

   Note: Cases involving more than two right angled triangles excluded.

2. Algebra:

   (i) Linear Inequations
   Linear Inequations in one unknown for x ∈ N, W, Z, R. Solving:

   Algebraically and writing the solution in set notation form.
    Representation of solution on the number line.
   (ii) Quadratic Equations in one variable
   (a) Nature of roots

    Two distinct real roots if b2 – 4ac > 0
   Two equal real roots if b² – 4ac = 0
   No real roots if b² – 4ac < 0
   (b) Solving Quadratic equations by:

   Factorisation
    Using Formula.
   (c) Solving simple quadratic equation problems.

   (iii)Ratio and Proportion
   (a) Proportion, Continued proportion, mean proportion
   (b) Componendo, dividendo, alternendo, invertendo properties and their combinations.

   (iv) Factorisation of polynomials:
   (a) Factor Theorem.
   (b) Remainder Theorem.
   (c) Factorising a polynomial completely after obtaining one factor by factor theorem.
   Note: f (x) not to exceed degree 3.

   (v) Matrices
   (a) Order of a matrix. Row and column matrices.
   (b) Compatibility for addition and multiplication.
   (c) Null and Identity matrices.
   (d) Addition and subtraction of 2×2 matrices.
   (e) Multiplication of a 2×2 matrix by

    a non-zero rational number
    a matrix.
   (vi) Arithmetic Progression
    Finding the General term of an A.P.
    Finding Sum of first ‘n’ terms of an  A.P.

   (vii) Co-ordinate Geometry
   (a) Reflection
   (i) Reflection of a point in a line:
   x=0, y =0, x= a, y=a, the origin.
   (ii) Reflection of a point in the origin.
   (iii)Invariant points.
   (b) Co-ordinates expressed as (x, y), Section formula, Midpoint formula, Concept of slope, equation of a line, Various forms of straight lines.
   (i) Section and Mid-point formula (Internal section only, co-ordinates of the centroid of a triangle included).
   (ii) Equation of a line:

    Slope –intercept form y = mx + c
   Two- point form (y-y1) = m(x-x1)
   Geometric understanding of ‘m’ as slope/ gradient/ tanθ where θ is the angle the line makes with the positive direction of the x axis. Geometric understanding of ‘c’ as the y intercept/the ordinate of the point where the line intercepts the y axis/ the point on
   the line where x=0.
    Conditions for two lines to be parallel or perpendicular.