tanx-sinx=0.75

tgx-sinx=0.75

Tanx=sinx

sinx/cosx=sinx

sinx=sinx*cosx

0=sinx*cosx-sinx

0=sinx(cosx-1)

sinx=0 cosx=1

x1=k*pi x2=2*k*pi ; k € IR

x1 covers both so x=k*pi.

sinx/cosx=sinx

sinx=sinx*cosx

0=sinx*cosx-sinx

0=sinx(cosx-1)

sinx=0 cosx=1

x1=k*pi x2=2*k*pi ; k € IR

x1 covers both so x=k*pi.

Since tanx = sinx/cosx,

sinx = sinx/cosx

multiply both sides by cosx

so sinxcosx = sinx

divide both sides by sinx

cosx = 1

x = 2pi

does that sound right? I'm doing an assignment with this question right now :)

sinx = sinx/cosx

multiply both sides by cosx

so sinxcosx = sinx

divide both sides by sinx

cosx = 1

x = 2pi

does that sound right? I'm doing an assignment with this question right now :)