Statement-1: cot -1(x)- tan -1(x)0 for all x

Question

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. (A) Statement-1 is true, statement-2 is true and statement-2 is correct explanation for statement-1. (B) Statement-1 is true, statement-2 is true and statement-2 is NOT the correct explanation for statement-1. (C) Statement-1 is true, statement-2 is false. (D) Statement-1 is false, statement-2 is true

Tardigrade Admin · Accepted Answer

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

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.

Statement-1 is true, statement-2 is true and statement-2 is correct explanation for statement-1.

Statement-1 is true, statement-2 is true and statement-2 is NOT the correct explanation for statement-1.

Statement-1 is true, statement-2 is false.

Statement-1 is false, statement-2 is true

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

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 $x < 1$ .