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Summary INVERSE TRIGNOMETRIC FUNCTIONS- JEE / JEEADVANCE /BITS

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Our concise yet comprehensive notes on "Inverse Trigonometric Functions" are tailored for students preparing for competitive exams like JEE Advanced, JEE Main, and BITSAT. These notes provide a thorough exploration of inverse trigonometric functions, focusing on their properties, applications, and relevance in calculus and problem-solving. Key features of our notes include: Fundamental Concepts: A clear explanation of inverse trigonometric functions, including the definitions and notations for arcsin, arccos, arctan, and other inverse trigonometric functions. The notes cover the concept of principal value and its importance in determining the correct outputs for these functions. Range and Domain: Detailed coverage of the range and domain of each inverse trigonometric function, with examples illustrating how to determine the correct intervals. The notes also discuss the significance of these properties in solving trigonometric equations. Trigonometric Identities: Comprehensive insights into the key identities involving inverse trigonometric functions, such as the sum and difference identities, and how they are derived. The notes provide practical examples to help students apply these identities in solving complex problems. Graphs of Inverse Functions: Visual representation and analysis of the graphs of inverse trigonometric functions. The notes provide detailed descriptions of the shape, behavior, and key points of each graph, helping students visualize and understand the functions better. Our Inverse Trigonometric Functions notes are an invaluable resource for students aiming to master this challenging topic and excel in their exams. With clear explanations, practical examples, and exam-focused strategies, these notes are designed to provide a strong foundation and boost your confidence in tackling competitive exam math.

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Dafe
Page

InveHse Jig0 Fun tions

Range and dorMun etugonometuc HOttos:


Tr. Ratio Domaun Ran
Sina ER 11
COS éR
tanx ER- 12n+1) 7t23
COt ER_ fnTt3 -00 0)
Sec eR- i(2nH) W2 9,-1] L,o)
COsecz X eR-n Tt}


Jomain Range and CMaph Of ITE:

1)Sina (inoueasing funLtoYn)

Range , 13

2)COsz(DecAasinq funtion)

Ranggs O,m

3tan anaeasing fu ton)
ER

Raunge
T2




A)Cot1z (DEcHEasng fundion)
ER
Rangr Co,t)

, Dafe
Page




Sec-la
xe(-o-1]u[1, )
Rangr L0t]-{ru3


6COSeca




TT2

PHOpeltte ITF


a sin (sina)= E,1
b cos(cDSx)7 , XEL11 e) seclseca) =X,2E(-e,-1uLL,
cosecCcos ecx)=x, Xe(-oe-1u, e


-1



Ctunttana) = 7 ER
d) cotCcOEx)=X, xER

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