This periodicity constant is different for different trigonometric identities. tan 45 ° = tan 225° but this is true for cos 45 ° and cos 225°. Refer to the above trigonometry table to verify the values. Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor. Cos 45 degrees is the value of cosine trigonometric function for an angle equal to 45 degrees. Understand methods to find the value of cos 45 degrees with examples and FAQs. Learn the exact value of cos 45 degrees as an irrational number 1 divided by 2 in different forms and systems. See how to prove it by constructing a right angled triangle with an angle 45 degrees.