SOLUTION: solve cos(theta)+sin(theta)=0 over the interval (0,2pi)

Algebra ->  Trigonometry-basics -> SOLUTION: solve cos(theta)+sin(theta)=0 over the interval (0,2pi)       Log On


   



Question 1070737: solve cos(theta)+sin(theta)=0 over the interval (0,2pi)

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
solve cos(theta)+sin(theta)=0 over the interval (0,2pi)
----------
Cos = -sin
cos^2 = sin^2
1-sin^2 = sin^2
2sin^2 = 1
sin = ħsqrt(1/2) in the quadrants where sine and cosine are opposite signs.
theta = 3pi/4, 7pi/4