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Maths-

General

Easy

Question

I $x equals cos invisible function application 1 to the power of ring operator comma y equals cos invisible function application 1 not stretchy rightwards double arrow$

x=y
x>y
x<y
2x=y

hint Hint:

We know that $1 degree equals 1 over straight pi$ and that $cos theta$ is a decreasing function in the range $left square bracket 0 comma straight pi right square bracket$ .

The correct answer is: x>y

Step by step solution:
Given,
$x equals space cos space 1 degree$
$y equals space cos 1$
Now, $x equals cos space 1 degree equals cos$ $1 over straight pi equals cos left parenthesis 0.3183 right parenthesis$
$y equals space cos space 1$
Now, cos x is a decreasing function in the range $left square bracket 0 comma straight pi right square bracket$
Thus, $cos left parenthesis 0.3183 right parenthesis greater than cos space 1$
$rightwards double arrow cos space 1 degree space greater than space cos space 1$
$rightwards double arrow x greater than y$
Hence, option(d) is the correct option.

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