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1. Radian Measure

Posted on 21-12-2023 By app.cch No Comments on 1. Radian Measure
  1. Definition of Radian The measure of an angle subtended at the centre of a circle by an arc equal to its radius is defined as one radian.

  2. Conversion between Degrees and Radians $$\pi\text{ rad}=180^\circ$$
  3. Specical Angles

    $$\begin{array}{|c|c|} \hline
    \text{Degree} & \text{Radian} \\ \hline
    30^\circ & \dfrac{\pi}{6} \\ \hline
    45^\circ & \dfrac{\pi}{4} \\ \hline
    60^\circ & \dfrac{\pi}{3} \\ \hline
    90^\circ & \dfrac{\pi}{2} \\ \hline
    120^\circ & \dfrac{2\pi}{3} \\ \hline
    135^\circ & \dfrac{3\pi}{4} \\ \hline
    150^\circ & \dfrac{5\pi}{6} \\ \hline
    180^\circ & \pi \\ \hline
    210^\circ & \dfrac{7\pi}{6} \\ \hline
    225^\circ & \dfrac{5\pi}{4} \\ \hline
    240^\circ & \dfrac{4\pi}{3} \\ \hline
    270^\circ & \dfrac{3\pi}{2} \\ \hline
    300^\circ & \dfrac{5\pi}{3} \\ \hline
    315^\circ & \dfrac{7\pi}{4} \\ \hline
    330^\circ & \dfrac{11\pi}{6} \\ \hline
    360^\circ & 2\pi \\ \hline
    \end{array}
    $$

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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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