Answer :




Consider the angles :


sin 0°, cos 0°, sin 30°, cos 30°


We know that angles 0° and 30° lies in the same part of the graph of sin and cos where 1° and 2° lies.


we can take the reference of them to arrange the other trigonometry angles which are counterpart of them.


Taking the values of the given trigonometry angles :


sin 0° = 0


cos 0° = 1


sin 30° = 0.5


cos 30° = 0.866


Arranging in ascending order :


sin 0° < sin 30° < cos 30° < cos 0°


Similarly,


sin 1° < sin 2° < cos 2° < cos 1°


Remember that we have taken 0° and 30° for comparison with 1° and 2° as the properties of sin and cos does not change in this range and they behave same as 1° and 2°.


sin 1° < sin 2° < cos 2° < cos 1°



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