Feel like Kenzaburou's text box on page 33 should mention that Fran had the wrong idea about the next queen. From his pov it should be Anna of course. Even if all other characters disagree
As if this proper oldman would want a relationships with someone he views as a kid. He doesn't even considers this option if you didn't notice. Also he obviously going back, he is here to somehow help Grace, I think.
sin over cos is tangent --- when sin is the top, the child becomes tan
cos over sin is cotangent -- reversed its cot
hypotenuse is the power bottom side since it is always being on the bottom in the equation
... etc
there is a lot of topping and bottoming and more to be had when it comes to trig.
takes a little creativity, but it will happen if you try