Now before taking the inverse tangent of both sides, recall that
where
is any integer. This means that when taking the inverse tangent of
, instead of just
, we would end up with
So after doing so in the equation above, we're left with
As
can be any integer, including negative integers, we can simply write
U can use the second last one
X + 90 = 2x + 40
22/7 = 3.142857...
Let's see if we can beat this using a fraction with 113 as its denominator.
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3 x 120 = 360
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So, let's try out x = 360:
360/113 = 3.185.... (Too high)
How about x=350:
350/113 = 3.097... (Too low)
Let's try out x = 355:
355/113 = 3.14159292 (Calculator value)
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Let's now compare 22/7 and 355/113 to pi:
22/7 = 3.142857...
355/113 = 3.14159292 (Calculator value)
π = 3.141592654
-------
As we can see, 355/113 provides us with a better approximation of π. This means that x=355.
Answer:
5.28835
Step-by-step explanation:
