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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 |
[-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) |
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 x = acos2θ
the substitution is x2
= a2cos2
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Chapter 2 Miscellaneous Exercise Q 14
Prove that:Solution
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=
=
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
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