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Plot[Sin[x], {x, 0, 10}, TicksStyle -> Large]

For something not quite so big, use: Larger, or choose your own font size with:

Plot[Sin[x], {x, 0, 10}, TicksStyle -> Directive[FontSize -> 16]]

Edit: Further to @YvesKlett helpful comment, one can even choose different styles for the x and y axes:

Plot[Sin[x], {x, 0, 10}, TicksStyle -> {{FontSize -> 16, Orange}, {FontSize -> 22, Green}}]

Plot[Sin[x], {x, 0, 10}, TicksStyle -> Large]

For something not quite so big, use: Larger, or choose your own font size with:

Plot[Sin[x], {x, 0, 10}, TicksStyle -> Directive[FontSize -> 16]]

Edit: Further to @YvesKlett helpful comment, one can even choose different styles for the x and y axes:

Plot[Sin[x], {x, 0, 10}, TicksStyle -> {{FontSize -> 16, Orange}, {FontSize -> 22, Green}}]

Plot[Sin[x], {x, 0, 10}, TicksStyle -> Directive[Large]]

For something not quite so big, use: Directive[Larger], or choose your own font size with:

Plot[Sin[x], {x, 0, 10}, TicksStyle -> Directive[FontSize -> 16]]

.

Plot[Sin[x], {x, 0, 10}, TicksStyle -> Large]

For something not quite so big, use: Larger, or choose your own font size with:

Plot[Sin[x], {x, 0, 10}, TicksStyle -> Directive[FontSize -> 16]]

Edit: Further to @YvesKlett helpful comment, one can even choose different styles for the x and y axes:

Plot[Sin[x], {x, 0, 10}, TicksStyle -> {{FontSize -> 16, Orange}, {FontSize -> 22, Green}}]

Plot[Sin[x], {x, 0, 10}, TicksStyle -> Directive[Large]]

For something not quite so big, use: Directive[Larger], or choose your own font size with:

Plot[Sin[x], {x, 0, 10}, TicksStyle -> Directive[FontSize -> 16]]

.

Plot[Sin[x], {x, 0, 10}, TicksStyle -> Directive[Large]]

For something not quite so big, use: Directive[Larger], or choose your own font size with:

Plot[Sin[x], {x, 0, 10}, TicksStyle -> Directive[FontSize -> 16]]

.