SOLUTION: I need to get all the possible solutions for this equation: cos(x) = sin(x) + 1

Algebra ->  Trigonometry-basics -> SOLUTION: I need to get all the possible solutions for this equation: cos(x) = sin(x) + 1      Log On


   



Question 939608: I need to get all the possible solutions for this equation:
cos(x) = sin(x) + 1

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
get all the possible solutions for this equation:
cos(x) = sin(x) + 1
------
Square both sides::
cos^2 = sin^2 + 2sin + 1
-----
1-sin^2 = sin^2 + 2sin + 1
2sin^2 + 2sin = 0
sin^2 + sin = 0
sin(sin+1) = 0
sin = 0 or sin = -1
---
x = 0 or x = 270
----
Check in original equation::
x = 0 ? :: 1 = 0 + 1 :::: true
x = 270 ;; 0 = -1 + 1 :::: true
-----------
Conclusion:: x = 0 or x = 270
-------------
Cheers,
Stan H.
--------------