SOLUTION: Could you please tell me how to solve sin 405 degrees in fraction form? I can do it on the calculator and get .7071 and I know the reference angle is 45 degrees. I know the answe

Algebra ->  Trigonometry-basics -> SOLUTION: Could you please tell me how to solve sin 405 degrees in fraction form? I can do it on the calculator and get .7071 and I know the reference angle is 45 degrees. I know the answe      Log On


   

Question 356859: Could you please tell me how to solve sin 405 degrees in fraction form? I can do it on the calculator and get .7071 and I know the reference angle is 45 degrees. I know the answer should be sqrt2/2 but I don't understand how to get that. Thanks for any help you can provide.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Use the Pythagorean theorem with an isoceles triangle (equal x and y, radius of 1).
x%5E2%2Bx%5E2=1%5E2
2x%5E2=1
x%5E2=1%2F2
x=sqrt%281%2F2%29
highlight%28x=sqrt%282%29%2F2%29