You can't isolate the tiger with f5.6 when the bamboo clump is barely inches behind it.

In summer the tiger sighting is a bit easier however light is tricky. One needs to compose taking into account the light and shade. The dynamic range of cameras these days have improved a lot. However, still including the deep black shadows and the bright sunlit areas in one frame becomes tough. If it is unavoidable then try to reduce the bright areas. Out of focus bright areas become a big distraction. So one needs to compose and choose a depth of field accordingly.