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

Question 939608: I need to get all the possible solutions for this equation:
cos(x) = sin(x) + 1
Answer by stanbon(75887) (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.
--------------

RELATED QUESTIONS
Please help me with this problem. I need to solve the equation for solutions over the... (answered by Gogonati)

Find all the solutions between 0 and 2pi to the equation... (answered by ewatrrr)

Find all solutions to the equation. Use a lower-case n to denote an arbitrary integer;... (answered by stanbon,user_dude2008)

Need Help finding all the solutions of the equation in the interval [0,2pi] sin x/2=1... (answered by Alan3354)

Find all solutions of the following equation: 2 cos^2(x) - 3 cos(x) = 2 sin(x)cos(x) - (answered by jim_thompson5910)

This is a Trigonometry and quadratic question but I couldn't find that as a topic.... (answered by fcabanski)

I need help finding all the solutions to this equation. sin(θ+2π) =... (answered by lwsshak3)

Solve the equation. List all solutions on the interval (0,2pi) Problem: sin(x) + cos... (answered by lwsshak3)

For cos(x)cos(3x)-sin(x)sin(3x)=0, use an addition or subtraction formula to simplify the (answered by ikleyn)