{"id":218294,"date":"2025-05-02T07:29:33","date_gmt":"2025-05-02T07:29:33","guid":{"rendered":"https:\/\/namso-gen.co\/blog\/how-to-find-the-exact-value-of-pi-12\/"},"modified":"2025-05-02T07:29:33","modified_gmt":"2025-05-02T07:29:33","slug":"how-to-find-the-exact-value-of-pi-12","status":"publish","type":"post","link":"https:\/\/namso-gen.co\/blog\/how-to-find-the-exact-value-of-pi-12\/","title":{"rendered":"How to find the exact value of pi\/12?"},"content":{"rendered":"

How to Find the Exact Value of \u03c0\/12<\/p>\n

The value of \u03c0, commonly approximated as 3.14, is an irrational number that stretches infinitely without repeating. Calculating its exact value is a persistent challenge in mathematics. In this article, we will tackle the particular task of finding the exact value of \u03c0\/12 – a fraction of \u03c0. Brace yourself for an exciting mathematical journey!<\/p>\n

How to find the exact value of \u03c0\/12?<\/b>
\nTo find the exact value of the fraction \u03c0\/12, we can employ a series of trigonometric identities and techniques. Let’s go step by step and unravel the mystery:<\/p>\n

1. Start with the formula for sin(\u03c0\/12):
\n sin(\u03c0\/12) = (sin(\u03c0\/6) – sin(\u03c0\/4)) \/ 2<\/p>\n

2. Substitute the values of sin(\u03c0\/6) and sin(\u03c0\/4):
\n sin(\u03c0\/12) = (\u221a2\/2 – 1\/2) \/ 2<\/p>\n

3. Simplify the subtraction:
\n sin(\u03c0\/12) = (\u221a2 – 1) \/ (2\u221a2)<\/p>\n

4. Rationalize the denominator by multiplying the numerator and denominator by \u221a2:
\n sin(\u03c0\/12) = ((\u221a2 – 1) \u00d7 \u221a2) \/ (2 \u00d7 \u221a2 \u00d7 \u221a2)
\n = (\u221a2\u221a2 – \u221a2) \/ (2\u221a2\u221a2)
\n = (2 – \u221a2) \/ 4<\/p>\n

FAQs about finding the exact value of \u03c0\/12:<\/b><\/p>\n

\n
\n

Table of Contents<\/p>\nToggle<\/span><\/path><\/svg><\/svg><\/span><\/span><\/span><\/a><\/span><\/div>\n