Question

Tentukan himpunan penyelesaiannya:
1.sinx+cosx=0 ,-360 2.sinx-cosx=0 ,-360 3.sinx-tanx=0 ,-90 4.sinx=tanx ,0

Answer 1

1. sin x + cos x = 0
    sin x = - cos x
    sin x / cos x = -1
    tg x = -1  ...
       x = 135, 315

2. sin x - cos x = 0
    sin x = cos x
    sin x / cos x = 1
    tg x = 1
        x = 45, 225

3. sin x - tan x = 0
    sin x = tan x
    sin x = sin x / cos x
    cos x  = 1, 
          x = 0

4. sama spt no. 3