Units n Dimensions question

[hoary sail]

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[glad frigate]

The argument in cos() should be dimensionless. The dimension of x should be L. So what should the dimension of 'a' be?

[slender karma]

Isn't it should be radian or sth?

Cuz we have angles in the the ratios

Cos90° sin60°....

[glad frigate]

Radians are considered dimensionless.

[slender karma]

Ya but we use angles in trigo right?

So how can dimension of x be L?

ax should be an angle right?

[glad frigate]

The problem says x-coordinate, so x should be a dimension of L.

[glad frigate]

Yes, and the angle would be in radians, which are dimensionless.

[slender karma]

But how can we put length in the place of angle???

[glad frigate]

The units on 'a' need to cancel out the length.

[fallen prairie]

@slender karma

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[graceful current]

this is a jee question of physics 😭