Easy Solving Trig Equation?

Question

sinx-tanx=0

Answer 1

add tanx to both sides: sin x = tan x

sinx / 1 = sinx / cosx

This is true if 1 = cosx since the tops are the same, and if sinx = 0 since 0/anything but zero will equal zero.

So answer = 0, pi, -pi, 2pi, -2 pi, etc or just n(pi) where n is an integer

Answer 2

sin x - tan x = 0
<=> sin x (1 - 1/cos x) = 0
<=> sin x = 0 or cos x = 1
But if cos x = 1, sin x = 0, so we can just say sin x = 0.
<=> x = kπ for any integer k.

Answer 3

y= sin 2x whilst y= a million/2 ?sin2x=a million/2 or 2x =?/6, 5?/6 frequently ?/6± 2n?, 5?/6± 2n? in[-?,?] and x=?/12± n?, 5?/12± n? in[-?,?] 2. y=cos 2x whilst y=a million/2 ?cos2x=a million/2 2x =?/3 2???/3 and frequently 2x =?/3± 2n?, 2???/3± 2n? and x=?/6± n?, 5?/6± n? in[-?,?]