What is the sum from n=0 to infinity of (cos^2(5))^n ?

The sum from n=0 to infinity of (cos^2(5))^n is 1/(1-cos^2(5))

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sum from n=0 to infinity of (cos^2(5))^n

n = 0 \sum \infty (cos^{2} (5))^{n}

\frac{1}{1 - cos ^{2} ( 5 )}

Decimal

1.08750 \dots

Solution steps

n = 0 \sum \infty (cos^{2} (5))^{n}

Apply Series Geometric Test:

\frac{1}{1 - cos ^{2} ( 5 )}

= \frac{1}{1 - cos ^{2} ( 5 )}

What is the sum from n=0 to infinity of (cos^2(5))^n ?
The sum from n=0 to infinity of (cos^2(5))^n is 1/(1-cos^2(5))