Frequently Asked Questions Q1. What is the exact value of the cosine of angle 45 degrees in surd and decimal form? Ans: The exact value of cos (45 °) is 1/√2 or √2/2 (in surd form) equal to 0.7071067812… in decimal form. Q2. Is the value of cos 45 ° and sin 45 ° the same? Ans: Yes, the value of cos (45 °) and sin ( 45 °) is the same which is 1/√2. Q3. How can you calculate the value of the cosine of angle 45 °? Ans: We can use the Pythagoras theorem to find the value of cos (45 ... Learn how to find the value of cos 45 ° using Pythagoras theorem and trigonometric identities. See the exact value, decimal form, surd form and cos ratio table of cos 45 °. 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. 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.