The sine and the cosine of an angle are both
(the leg of a right triangle) divided by (the hypotenuse of the same triangle).
The leg can't be longer than the hypotenuse, so this fraction can't be more than ' 1 '.
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You can choose either or but tangent which is sin/cos seems to be the most common way.
Sine(A+ B) = Sine(A)*Cosine(B) + Cosine(A)*Sine(B).
The differential of the sine function is the cosine function while the differential of the cosine function is the negative of the sine function.
Tangent = sine/cosine provided that cosine is non-zero. When cosine is 0, then tangent is undefined.
No, they do not.