Trigonometric Functions, Ratios and Identities

IIT-JEE · Class 11 · Mathematics

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What’s covered

  • topics
    • Trigonometric Ratios
      • trigonometric ratios of acute angles
      • trigonometric ratios of standard angles
      • trigonometric identities
    • Measurement of Angle
      • degree measurement
      • radian measurement
      • conversion between radians and degrees
      • relation between radians and real numbers
    • Trigonometric Functions of an Angle
      • angles in trigonometry
      • trigonometric functions of any angle
    • Behaviour of Trigonometric Functions
      • trigonometric functions as circular functions
      • graphs of trigonometric functions
    • Allied Angles
      • trigonometric ratios of allied angles when n is even
      • trigonometric ratios of allied angles when n is odd
    • Compound Angle Formulas
      • cosine of the difference and sum of angles
      • sine of the difference and sum of angles
      • compound angle formulas for tangent
      • expression a cos x plus b sin x
    • Transformation Formulas
      • transforming a product into sum or difference
      • transforming a sum or difference into product
    • Multiple Angles
      • formulas for sine and cosine of multiple angles
      • formulas for tangent and cotangent of multiple angles
      • values of trigonometric ratios of typical angles
    • Important Results
      • some important results and their applications
      • sum of cosines and sines when angles are in A.P.
    • Conditional Identities
      • some standard identities in a triangle
    • Range and Inequalities
      • finding range of an expression using trigonometric substitution
      • standard inequalities in a triangle