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How did you get inverse of Cos ( 4 / 30 ) with an answer of 97.66 ... when I put that into my calculator .. inverse of Cos ( 4 / 30 ) .. I got 82 . 3377 .. where am I going wrong ?
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*x⁰ = 1 Proof* *TL;DR: Using 0 as an exponent is an empty product. Empty products always output 1, regardless of the input.* Using a capital pi to define integer exponents in both directions (±), x⁰ always results in an empty product (upper bound less than lower bound), which evaluates to 1. Here are basic formulas for integer exponents (positive/negative integers) using capital Pi. bⁿ = Πₖ₌₁ⁿ b b⁻ⁿ = Πₖ₌₁ⁿ (1÷b) When n is 0, this results in an empty product for both equations. b⁰ -= Πₖ₌₁⁰ b- = 1 b⁰ -= Πₖ₌₁⁰ (1÷b)- = 1 *This even holds true when b and n are both 0.* (Undefined values are overridden by the empty product.) *0⁰ **-= Πₖ₌₁⁰ 0-** = 1* *0⁰ **-= Πₖ₌₁⁰ (1÷0)-** = 1* The same thing happens with factorials of natural numbers and 0!. n! = Πₖ₌₁ⁿ k 0! -= Πₖ₌₁⁰ k- = 1 _(X-posted under multiple vids)_