Trigonometric Functions, Ratios and Identities
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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
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