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Compulsory four mathematics
If it is the first quadrant angle, sin α >; Sinβ, so there must be α > β, then cos α

If it is the second quadrant angle, sin α >; Sinβ, so there must be α.

If it is the third quadrant angle, sin α >; Sinβ, so there must be α.

If it is the fourth quadrant angle, sin α >; Sinβ, so there must be α > β, then tan α >; tanβ

Comments:

Draw a circle with a radius of 1 unit, just like the one in your picture.

For sin, sinα=y, and for the first and second quadrants, sinα is positive.

For cos, cosα=x, and for quadrant 1 and quadrant 4, cosα is positive.

For tan, tanα=y/x, and for the first and third quadrants, tanα is positive.

On the contrary, on the contrary.

For sin, for the first and fourth quadrants, the larger the angle, the larger the value.

For cos, for three or four quadrants, the larger the angle, the larger the value.

For tan, for all quadrants, the greater the angle, the greater the value.

On the contrary, on the contrary.