Inverse Trigonometric Functions
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What are the principal values for the inverse trigonometric functions?
What are the principal values for the inverse trigonometric functions?
students can check the table for the principal values for all ITFs below;
| Function | Principal Value Range (in radians) |
|---|---|
| sin? ¹x | –? /2 to? /2 |
| cos? ¹x | 0 to? |
| tan? ¹x | –? /2 to? /2 |
| cot? ¹x | 0 to? |
| sec? ¹x | 0 to? (except? /2) |
| cosec? ¹x | –? /2 to? /2 (except 0) |
What is the principal value of an inverse trigonometric function?
What is the principal value of an inverse trigonometric function?
To understand this, Assume you have a bucket that has infinite number of apples and if your mother asks "give me the apple". How will you figure out which one is "The Apple", she is asking for.
Similarly any inversre trigonometric functions behaves like a Many-one Function; which means,
For Exam
An inverse of a function does just opposite work as the original function does in other words it essentially "undoes" what the original function does. If a function f maps an input x to an output y (written as f (x) = y),
then its inverse function is denoted as f? ¹ (y) and&nbs
What is the weightage of class 12 Inverse Trigonometric Function in JEE Main?
Inverse Trigonometric Functions is considered a moderated weightage topic, 1 question is expected from this chapter directly. However, ITF plays an important role to boost score through usgae of its properties in Calculus unit, which have a better weightage overall. Students must check the NCERT So
What are the Inverse Trigonometric Functions in class 12 Math?
There are six basic trigonometric functions like sin, cos, tan, cot, sec, and cosec. These basic trigonometric functions are used to find the ratio of 2 sides among the three sides. Inverse trigonometric functions as suggested by names are inverse of trigonometric functions, are used to find a
What is the weightage of Inverse Trigonometric Functions in class 12th boards?
Class 12 Inverse Trigonometric Functions is a topic of moderate weightage but its application are far more important in calculus which have very high weightage around 35-40 marks. Students can expect up to 4 marks from ITF chapter. Students can expect 1 MCQ/Very Short Answer type question of 1 mark,
Is Class 12th Math Inverse Trigonometric Functions NCERT Solutions important for Boards exams?
Yes, Class 12th Math Inverse Trigonometric Functions NCERT Solutions are significant not only due to direct weightage but also its application used in variouse other important chpater such as calculus, matrices and others. Student should definately solve and chck out the NCERT solutions of class 12t