if the range is in pi form does that mean we must change the calculator to radian form to calculate the basic angle
i saw some examples of pi scale question, some used radian mode to calculate basic angle, some used degree mode (but the answer of basic angle was left in pi form like pi/6 pi/3 etc)
im extremely confused with this part

It all depends whether the question is being asked in degree form or radian form, so you must be sure which form to take. Remember that pi radians and 180 degrees are equivalent, so apart from the angle form stipulation, everything else is the same.

I won’t be able to answer your remaining questions for at least two days as I have a ton of work to do.

does that mean we must see whether the basic angle is a special angle in degree mode first before really continuing with the radian mode if the question gives the range in pi form

i dont really understand how these type of questions work...

If the question is asked in degree form, we do in degree form from the start. If the question is asked in radian form, we do in radian form from the start. Do not start off a radian version question in degree mode and converting it to radians later on.

The idea in doing such questions is to

1. Identify the possible quadrant(s) in which angle x can lie in.

2. Calculate the basic angle of that specific angle based on your equation. For example, if cos x = 0.5, then the basic angle alpha is cos-1 (0.5). And if tan x = -0.25, then the basic angle alpha is tan-1 (0.25). Do not include the negative sign as we write out the basic angle.

3. We proceed to find the possible value(s) of the main angle x depending on the quadrants in which x can lie in.

Tonight I should be able to spare some time to look at some of your remaining questions, provided I finish all my work in time.

sure thx :)

I’m not so sure if I can do later, as I just ended a class and am on my way back now. If I am not too tired, I will do one or two questions (since I coincidentally have completed my work for the day).