# Solve # sinx - cosx = 0#?

##### 1 Answer

Apr 18, 2017

# x = pi/4 + npi #

#### Explanation:

We have:

# sinx - cosx = 0#

Which we can rearrange as follows:

# :. sinx = cosx #

# :. sinx/cosx = 1 #

# :. tanx = 1 #

# :. x = (arctan1) + npi \ \# where#n in ZZ#

# :. x = pi/4 + npi #