Final answer:
To expand the trigonometric expression tan(y/2), we can use the half-angle formula for tangent, which is tan(y/2) = sin(y)/(1 + cos(y)).
Step-by-step explanation:
In trigonometry, the expression tan(y/2) represents the tangent of half of the angle y. To expand this expression, we can use the half-angle formula for tangent.
The half-angle formula for tangent is tan(y/2) = sin(y)/(1 + cos(y)). This formula allows us to express the tangent of an angle in terms of sine and cosine.
For example, if we have an angle of y = 60 degrees, then the expanded form of tan(y/2) would be tan(30 degrees) = sin(60 degrees)/(1 + cos(60 degrees)).