The set of values of - 1 2 is

Since, domain of - 1 x is R - ( - 1,1) . ( - , - 1] [1, ) So, there is no set of values exist for - 1 2 . So, is the answer.

Inverse Trigonometric Functions — Class 12 Maths Solution

exemplar fill FillBlank NCERT,Ex.2.3,Q.41,Page.40

Question

The set of values of ${\sec ^{ - 1}}\frac{1}{2}$ is

Step-by-step Solution

Since, domain of ${\sec ^{ - 1}}x$ is $R - ( - 1,1)$.

$\Rightarrow$ $( - \infty , - 1] \cup [1,\infty )$
So, there is no set of values exist for ${\sec ^{ - 1}}\frac{1}{2}$.

So, $\phi$ is the answer.

NCERT & Exemplar solution for CBSE Class 12 Mathematics, Inverse Trigonometric Functions. Curated by Sachin Sharma. Free for all students.