These I need help on now..they're screwing with my mind!
Solve the equation for solutions in the interval [0, 360). Round to the nearest degree.
sin 2theta =cos theta
sin 2theta= -1/2
sqrt3 sec2theta =2
Solve the equation for x
y=8 cos 3x
Solve the equation for exact solutions.
arcsin(y-pi/6) = pi/3
arctanx = arcsin 7/25
Solve the equation.
arcsin 2x +2 arccos x=pi
When students are faced with solving equations of the form many have the misconception that you can simply divide by the common factor of x and get x = 1 as the answer. This approach is wrong as it ignores the possibility of x=0.
It's my opinion that from the OP's point of view your reply, unfortunately, reads as a complete solution where this misconception is reinforced. It's unfortunate that your editing also suggested that there was only one solution as this is also a common misconception among novices.
The academic merit of a reply can only be judged on what ends up being posted. If there's a likelihood that the OP will be confused or get the wrong impression from the reply, or if the reply contains errors, then it's the responsibility of all members, not just Moderators, to point this out.
I myself have been on the receiving end of this process and wouldn't want it any other way.