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Mathematics Assignments & Worksheets For Class IX Chapter-wise mathematics assignment for class 09. Important and useful extra questions strictly according to the CBSE syllabus and pattern with answer key CBSE Mathematics is a very good platform for the students and is contain the assignments for the students from 9 th to 12 th standard. Here students can find very useful content which is very helpful to handle final examinations effectively. For better understanding of the topic students should revise NCERT book with all examples and then start solving the chapter-wise assignments. These assignments cover all the topics and are strictly according to the CBSE syllabus. With the help of these assignments students can easily achieve the examination level and can reach at the maximum height. Class 09 Mathematics Assignment Case Study Based Questions Class IX
Inverse Trigonometric Functions Chapter 2 Class 12
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INVERSE TRIGONOMETRIC FUNCTIONS
Maths formulas based on Inverse trigonometric functions chapter 2 class 12, useful and important maths formulas on Inverse Trigonometric Functions


Note: Click here to open the Assignment on Inverse Trigonometric Functions Chapter 2 Class 12
Before we start the Inverse Trigonometric functions we should know the trigonometric functions class 11 chapter 3. First of all students should learn all the formulas of trigonometric functions then start this chapter.
Inverse Trigonometric Functions
CBSE Syllabus For Inverse Trigonometric Functions Chapter 2 Class XII
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1.) In this section we discuss about the principal value
2.) Domain, and range of Inverse Trigonometric Functions
3.) Properties of Inverse Trigonometric Functions.
4.) Graph of Inverse of Trigonometric Functions.
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Simple meanings of Inverse of a Function
sinx is a function and sin-1x is an angle
Functions |
Domain (Value of x) |
Range (Value of y) Principal Value Branch |
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[-1,1] |
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[-1,1] |
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R |
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R |
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R-(-1,1) |
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R-(-1,1) |
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Functions |
Principal Value
Branch |
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The value of the inverse trigonometric functions which lies in its principal value branch is called its Principal Value.
Inverse Trigonometric Functions with Negative angles
Properties of inverse trigonometric functions:-
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Other Important Results
SUBSTITUTION PROPERTIES :-
For a2
+ b2, substitution is x = atan θ
or x = acot θ
For a2
- b2, substitution is x = asin θ
or x = acot θ
For x2
- a2, substitution is x = asec θ
or x = acosec θ
the substitution is x2
= a2cos2
*********************************
Chapter 2 Miscellaneous Exercise Q 14
Prove that:Solution
= +tan^{-1}\left%20(%20\frac{63}{16}%20\right%20))
= +tan^{-1}\left%20(%20-\frac{63}{16}%20\right%20))
= )
Reason: tan 0 = 0 and tan π = 0
Graphs of cosx and cos-1x
Graphs of tanx and tan-1x]
Graphs of cotx and cot-1x
Graphs of secx and sec-1x
THANKS FOR YOUR VISIT
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