Is 5.75 equal as 5.750 ?
2 answers:
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Answer:
Step-by-step explanation:
Given: The first term of Geometric series : a=1
The seconds term of Geometric series :
The common ratio between the terms is given by :-
We know that the sum of infinite geometric series is given by :-
Hence, the sum of the given infinite series =
Knowing that cos(45°) = 1/√2 is the way forward.
The last step in the equation may not be obious, but the trick here is to multiple numerator and denominator with (1-√2), then the denominator has the special product (a+b)(a-b) = a²-b².
The last step in the equation may not be obious, but the trick here is to multiple numerator and denominator with (1-√2), then the denominator has the special product (a+b)(a-b) = a²-b².