1. Tardigrade
  2. Question
  3. Mathematics
  4. Statement-1: cot -1(x)- tan -1(x)>0 for all x<1 Statement-2: Graph of cot -1( x ) is always above the graph of tan -1( x ) for all x <1.

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. Statement-1: $ \cot ^{-1}(x)-\tan ^{-1}(x)>0$ for all $x<1$
Statement-2: Graph of $\cot ^{-1}( x )$ is always above the graph of $\tan ^{-1}( x )$ for all $x <1$.

Inverse Trigonometric Functions

Solution:

Correct answer is (a) Statement-1 is true, statement-2 is true and statement-2 is correct explanation for statement-1.