Paradoxically, when you multiply x by 2 in the trig functions cos 2x the period is HALVED so pi
sooooooo......you should be able to figure out what the second one is..... cos 2x
For the third one, continuing.....the period is still 2pi but the amplitude is reduced to 1/2 ....and it is FLIPPED ...so -1/2 cos x
Frequency = 1/period = 1/pi (1 cycle in pi time 1/pi)
For the last one....just make the cosine wave 4 times taller at pi/2 and 3pi/2 the value is still 0
Paradoxically, when you multiply x by 2 in the trig functions cos 2x the period is HALVED so pi
sooooooo......you should be able to figure out what the second one is..... cos 2x
For the third one, continuing.....the period is still 2pi but the amplitude is reduced to 1/2 ....and it is FLIPPED ...so -1/2 cos x
Frequency = 1/period = 1/pi (1 cycle in pi time 1/pi)
For the last one....just make the cosine wave 4 times taller at pi/2 and 3pi/2 the value is still 0