Can you express ALL real numbers only using integer coefficients and combining these functions?

Question

addition, substraction
multiplication, division
exponentiation, taking the n-th root of...
logarithmic funtions (with algebraic bases, not the e base) , taking a number to the n-th power
trigonometric functions (sine, cosine, tangent, etc.) using degrees (because radians are based on pi)

is a combination of all these functions enough to be able to find a mathematical expression for ALL real numbers including transcendentals without using transcendental coefficients, or are there other functions needed to find other numbers?

Basically, what is the minimum set of functions one must use to be able to define ALL numbers using ONLY this set of functions?

Answer 1

Answered this question you asked. Answer is the same:-

https://answersrip.com/question/index?qid=20100107194005AAQnXSR&show=7#profile-info-pVTevFJgaa

Answer 2

it is impossible to calculate PI to countless percision utilising purely integers. Like substitute into reported above, Pi is an irrational extensive style. It never repeats its decimal places. As such, it is available to calculate an abstraction of pi (ex. 3.14) utilising integers, however the actual fee (3.14159.....) can not.

Answer 3

that's impossible to calculate PI to infinite percision making use of in basic terms integers. Like became pronounced above, Pi is an irrational variety. It in no way repeats its decimal places. As such, it relatively is a threat to calculate an abstraction of pi (ex. 3.14) making use of integers, however the definitely fee (3.14159.....) won't be able to.