{# dataLayer and gtag are defined unconditionally: roughly fifteen gtag() calls live in payment and landing templates, and they would throw a ReferenceError if the function disappeared. With no tag script loaded the queued commands just sit in the array and never leave the browser. #}
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Question 44

Let $$\alpha=\left(1-2\cos\tfrac{\pi}{11}\right)\left(1-2\cos\tfrac{3\pi}{11}\right)\left(1-2\cos\tfrac{9\pi}{11}\right)\left(1-2\cos\tfrac{27\pi}{11}\right)\left(1-2\cos\tfrac{81\pi}{11}\right).$$

Then the value of $$5-\alpha^2$$ is ___.


Correct Answer: 4.00

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