p1 trignometry doubttt urgent 2

[1357913579]

here is the question below please answer in full detail with full explanation thanks very much

 

[destined007]

Here:
This is a very concept based topic so if your are doing it on your own, don't do that. Wait for your teacher to finish the topic first.

 

[1357913579]

i have a doubt i dont understand why dont we rotate 3 times and why cant er do 360+360-63.43 and you did with the 180 one please help

 

[1357913579]

and is there a way we can confirm how many values of x could be there between the range

 

[destined007]

see the first graph, where basic angle is in 2nd quadrant, i have just sifted the graph 360 degrees forward.
When there is tan2x or sin2x or cos2x, your can at maximum shift the graph 360 degrees forward for 1 times, plus 360.
where there is tan4x or cos4x or sin4x, you can at maximum shift the graph 360 degrees forward for 3 times, plus 360 and then plus 360 and then plus 360.
I have written "at maximum", so you cant exceed 3 times. But you can stop at any number before 3 like 2 times or 1 times. depending on the range given in the question. In the above question your answer would have exceeded 180 degrees by shifting the angles 360 degree by 2 times. So i stopped at 1 times only. In every shifting you add 360 degree to previous angle, remember this.

 

[destined007]

There will be in total 6 values for this question.
You have to check which ones lie in 0<x<180.

 

[1357913579]

but why cant we do 360+360-63.43 and you did with the 180 one is it because of the range so if the range is 180 to 360 we can if there is 3x so one rotation would be complete 360 and the other one would be the 180-63.43 so you did two rotation is it like that same case with the first two angles you did they were one rotation not complte thanks for clearing these my teacher has thought but not completely not thought me these points only she taught the quadrant the positive and negative but not this 3x and stuff but according to her she finished the topic not a good teacher strugling with her.

 

[destined007]

Here:
one complete rotation is 360 degree

 

[1357913579]

here are the doubts

 

[destined007]

correct. you got it.

 

[1357913579]

so there are 8 values forget about the range

 

[destined007]

Oh boy i just made a mistake. See when there is tan3x, you rotate for 2 times.
when there is tan4x you rotate for 3 times.
Let me correct the previous posts.

 

[destined007]

there will be 6 values.

 

[destined007]

Here: