Is it correct to use stative verbs in simple past tense
Ex:we all tasted the cake.
Is it gramitically correct to use in simple future and perfect tenses
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Your example doesn't seem to be a stative sense of the word "taste". But it's certainly possible to use stative verbs in the past tense:
John felt sick yesterday.
And to use a stative sense of "taste":
When we ate the cake, we tasted the chocolate frosting.
It can also be used in the future:
After you eat dinner you will feel full.
And in perfect tense:
I have felt sick before.
Or present perfect progressive:
I have been feeling sick for the past week.