In the article, we present certain
$p, q\in\mathbb{R}$
such that the Wilker-type inequalities
$$\begin{aligned}& \frac{2q}{p+2q} \biggl(\frac{\sin x}{x} \biggr)^{p}+ \frac{p}{p+2q} \biggl(\frac{\tan x}{x} \biggr)^{q}>(< )1\quad \mbox{and}\\& \biggl(\frac{\pi}{2} \biggr)^{p} \biggl(\frac{\sin x}{x} \biggr)^{p}+ \biggl[1- \biggl(\frac{\pi}{2} \biggr)^{p} \biggr] \biggl(\frac{\tan x}{x} \biggr)^{q}>(< )1 \end{aligned}$$
hold for all
$x\in(0, \pi/2)$
.
