Which of the following is correct?

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(A) The function $f(x) = 	an x$ is strictly increasing in the interval $(0, \pi/2)$.Since $1 	ext{ radian} \approx 57.3^\circ$ and $2 	ext{ radians

Vedclass · Accepted Answer

$	an 1 > 	an 2$

Vedclass · Answer

(A) The function $f(x) = 	an x$ is strictly increasing in the interval $(0, \pi/2)$.Since $1 	ext{ radian} \approx 57.3^\circ$ and $2 	ext{ radians} \approx 114.6^\circ$,we observe that $1 	ext{ radian}$ lies in the first quadrant $(0, \pi/2)$ where $	an x$ is positive and increasing.However,$2 	ext{ radians}$ lies in the second quadrant $(\pi/2, \pi)$ where $	an x$ is negative.Since any positive value is greater than any negative value,$	an 1 > 	an 2$ is correct.

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