Trigonometry Formulas For Class 12

Trigonometry is a branch of Mathematics, that involves the study of the relation between angles and lengths of triangles. It is a very important branch of Mathematics based on Statistics, Calculus and Linear Algebra. It is not only important in Mathematics but also plays a major role in Physics, Astronomy and Architectural Design.

CBSE Class 12 mathematics contains Inverse Trigonometry Functions. This chapter includes definition, graphs and elementary properties of inverse trigonometric functions. Trigonometry formulas for class 12 play a critical role in these chapters. Hence all trigonometry formulas are provided here. Trigonometry formulas for class 12 contain all formulas in a single page for better understanding . We believe, Trigonometry Class 12 formulas provided here will help students to learn them and can have a quick glance when needed.

Trigonometry formulas list

Trigonometry Class 12 Formulas
Definition
\(\theta = \sin^{-1}\left ( x \right )\, is\, equivalent\, to\, x = \sin \theta\)
\(\theta = \cos^{-1}\left ( x \right )\, is\, equivalent\, to\, x = \cos \theta\)
\(\theta = \tan^{-1}\left ( x \right )\, is\, equivalent\, to\, x = \tan\theta\)

Inverse Properties

\(\sin\left ( \sin^{-1}\left ( x \right ) \right ) = x\)
\(\cos\left ( \cos^{-1}\left ( x \right ) \right ) = x\)
\(\tan\left ( \tan^{-1}\left ( x \right ) \right ) = x\)
\(\sin^{-1}\left ( \sin\left ( \theta \right ) \right ) = \theta\)
\(\cos^{-1}\left ( \cos\left ( \theta \right ) \right ) = \theta\)
\(\tan^{-1}\left ( \tan\left ( \theta \right ) \right ) = \theta\)

Double Angle and Half Angle Formulas

\(\sin\left ( 2x \right ) = 2\,  \sin\, x\, \cos\, x\)
\(\cos\left ( 2x \right ) = \cos^{2}x – \sin^{2}x\)
\(\tan\left ( 2x \right ) = \frac{2\, \tan\, x}{1 – \tan^{2}x}\)
\(\sin\frac{x}{2} = \pm \sqrt{\frac{1 – \cos x}{2}}\)
\(\cos\frac{x}{2} = \pm \sqrt{\frac{1 + \cos x}{2}}\)
\(\tan\frac{x}{2} = \frac{1- \cos\, x}{\sin\, x} = \frac{\sin\, x}{1 + \cos\, x}\)<

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