cos^2α + sinα = 1(1 - sin^2α) + sinα = 11 - sin^2α + sinα = 1-sin^2α + sinα = 0sinα(1 - sinα) = 0sinα = 0 or sinα = 1
Therefore, the equation cos^2α + sinα = 1 + sinα holds true for sinα = 0 or sinα = 1.
cos^2α + sinα = 1
(1 - sin^2α) + sinα = 1
1 - sin^2α + sinα = 1
-sin^2α + sinα = 0
sinα(1 - sinα) = 0
sinα = 0 or sinα = 1
Therefore, the equation cos^2α + sinα = 1 + sinα holds true for sinα = 0 or sinα = 1.