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Maths-

General

Easy

Question

$straight a equals sec space 2 to the power of ring operator comma straight b equals sec space 2 rightwards double arrow$

a=b
a<b
b<a
2a=b

hint Hint:

We know that $1 degree equals 1 over pi$ and that $s e c theta$ is an increasing function in the range $left square bracket 0 comma pi over 4 right parenthesis$

The correct answer is: b<a

Step by step solution:
Given,
$a equals s e c space 2 degree$
$b equals s e c space 2$
Now, $a equals space s e c space 2 degree space equals space$ $s e c space 2 over straight pi equals s e c space left parenthesis 0.6366 right parenthesis$
$b equals s e c space 2$
Now, sec x is an increasing function in the range $left square bracket 0 comma straight pi over 4 right parenthesis$
Thus, $s e c left parenthesis 0.6366 right parenthesis less than s e c 2$
$rightwards double arrow s e c space 2 degree less than s e c space 2$
$rightwards double arrow a less than b$
Hence, option(b) is the correct option.

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