HELP please PLease HELP?

Question

solve the trigonometric equation. find exact radian solutions where appropriate.

1. csc x = squire-root of 2

2. 3 tan x = 2

3. 3 sin[x+pie/4]=1

Answer 1

1) 1/sinx= sqrt(2) so sin x = sqrt2/2 and x = pi/4+2kpi and x=
3pi/4 +2kpi ( k any integer)
tan x=2/3 so x=0.5880+k*pi

sin(x+pi/4) = sqrt2 /2( sin x+cos x)=1 so

sinx +cos x= sqrt2 so x= pi/4+2kpi

Answer 2

12