How would you find the exact value of the six trigonometric function of 45 degrees? Trigonometry Right Triangles Trigonometric Functions of Any Angle 1 Answer Daniel L. Jun 18, 2016 See explanation. Explanation: An angle of 45^o can be found in a unit square divided by its diagonal. The catheti of this right triangle are 1 unit long, the hypotenuse is sqrt(2)/2 units long, so: sin 45^o=cos45^o=a/c=sqrt(2)/2 tan45^o=cot45^o=a/a=1 sec45^o=csc45^o=c/a=sqrt(2) Answer link Related questions How do you find the trigonometric functions of any angle? What is the reference angle? How do you use the ordered pairs on a unit circle to evaluate a trigonometric function of any angle? What is the reference angle for 140^\circ? How do you find the value of cot 300^@? What is the value of sin -45^@? How do you find the trigonometric functions of values that are greater than 360^@? How do you use the reference angles to find sin210cos330-tan 135? How do you know if sin 30 = sin 150? How do you show that (costheta)(sectheta) = 1 if theta=pi/4? See all questions in Trigonometric Functions of Any Angle Impact of this question 11527 views around the world You can reuse this answer Creative Commons License