$\beta_2$ adrenergic Receptors are $G_s$-coupled 7-TM proteins. Considering that $G_s$ , by activation increases $[\text{cAMP}]_\text{cytosol}$ which inhibits MLCK of smooth muscles (and causes relaxation as in bronchial smooth muscles).
But at the same time, in cardiac myocytes ($\beta_1$), $G_s$ activation activates PK-A (through cAMP) which in-turn activates L-type $\ce{Ca^{2+}}$ channels. Thus there is prolonged plateau phase and positive inotropic and chronotropic effect.
I think these two results are contradictory. Why and how are these two seemingly completely opposite effects mediated through similar signal transduction pathways?
Madamanchi A. Beta-adrenergic receptor signaling in cardiac function and heart failure. Mcgill J Med. 2007;10(2):99-104. https://www.ncbi.nlm.nih.gov/pmc/articles/PMC2323471/