sin x + cos x = 0

Question

sin x + cos x = 0

anonymous · Answer

What do you want to do with this equation:FIND X?
                                                             DEMONSTRATE THE EQUALITY..???

anonymous · Answer

Find all solutions for the following trigonometric equations on the interval 
[0,2pi].

solomonzelman · Answer

well, lets solve for x.

$\LARGE\color{blue}{ \sf    Sin(x)+Cos(x)}$

we know that cos(x)= sqrt [ 1- sin^2x ]

$\LARGE\color{blue}{ \sf    Sin(x)+\sqrt{1- Sin^2x} =0}$     subtract Sin(x) from both sides

$\LARGE\color{blue}{ \sf    \sqrt{1- Sin^2x} =~-Sin(x)}$   square both sides
(  NOTE:     (-2)^2=4  not -4  )

$\LARGE\color{blue}{ \sf    1- Sin^2x =~Sin^2x}$ 

can you take it from here?
@rlave001

anonymous · Answer

Or just do

sin(x) = -cos(x)

tan(x) = -1 :)