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Revision Note

Tangents to a Circle

  1. If $PQ$ is a tangent to the circle at $T$, then $OT$ is perpend
… Read
Math

The Sum and the Product of the Roots

For quadratic equation $ax^2+bx+c=0$, where $a$, $b$ and $… Read

Math

Theoretical Probability

Let $E$ be an event.
\begin{equation*}
P(E)=\frac{\mbox{… Read

Data Handling

Transformations of Data

Let $\{x_1,~x_2,~\ldots,~x_n\}$ be a set of data. Let $\ov… Read

Data Handling

Translations of $y=f(x)$

For the function $y=f(x + h) + k$.

  1. If $h$ is positive, then the
… Read
Math

Trapeziums

  1. Definition: A quadrilateral with one pair of parallel side
… Read
Math

Triangle Inequality

Result: $AB+BCAC$, $AB+ACBC$ and $BC+ACAB$

Reference: tr… Read

Math

Triangle Numbers

The sequence of numbers $1$, $3$, $6$, $10$, $15$, $21$, $28… Read

Math

Trigonometric Functions for an Acute Angle

  1. $\sin\theta = \dfrac{b}{c}$
  2. $\cos\theta = \dfrac{a}{c}$
… Read
Math

Trigonometric Functions for any Angles

  1. $r=\sqrt{x^2+y^2}$
  2. $\sin\theta = \dfrac{y}{r}$
  3. $\cos\t
… Read
Math

Trigonometric Identities

  1. $\sin^2\theta+\cos^2\theta =1$
  2. $\tan\theta=\dfrac{\s
… Read
Math

Trigonometric Ratios of Special Angles

$$\begin{array}{c|c|c|c|c|c}
& 0^\circ & 30^… Read

Math

Vertex Form of Quadratic Function

For quadratic function $y=ax^2+bx+c$, where $a$, $b$ and $… Read

Math

Vertically Opposite Angles

Result: $a=b$

Reference: vert. opp. $\angle$s… Read

Lines and Angles

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Topic Cloud

3D Problems (41) Basic Functions (13) Basic Geometry (68) Binomial Theorem (7) Change of Subject (32) Complex Numbers (16) Coordinates (46) Differentiation (16) Equations of Circle (54) Equations of Straight Line (43) Estimations and Errors (35) Factorization (39) Graph of Functions (3) Inequality (39) Integration (15) Laws of Indices (43) Linear Programming (21) Locus (13) Logarithm (34) Mathematical Induction (7) Matrices (4) Mensuration (98) Numeral System (19) Percentage (42) Polynomials (49) Probability (85) Properties of Circles (56) Quadratic Equations and Functions (57) Rate and Ratio (30) Rational Functions (20) Sequences (66) Simultaneous Linear Equations (27) Statistics (122) System of Linear Equations (3) Transformations (44) Trigonometry (M2) (7) Trigonometry and Its Applications (67) Variations (38) Vectors (3)

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