I need to perform the indicated operation and simplify $(1+\sin t)^{2} + \cos^{2} t$
The book is telling me that it turns into $1 + 2\sin^2t + \cos^2t$, how is is possible? Basic math tells me that 2(3) is equal to six and that $3^2 = 9$ so there is no way that $\sin^2$ can be turned into $2\sin$