Question

@hartnn Here it is.

Answer 1

From the Additional Problems section on page 1

Answer 2

@hartnn (:

Answer 3

for 41 a) amplitude will be just 2, not 4

Answer 4

alright (:

Answer 5

so u need help with 2sin^2x +cos x ?

Answer 6

Yes and the one after that :) is the one before that okay?

Answer 7

2pi/3 and 5pi/6 only satiesfies original equation

Answer 8

not pi/ or pi/3

Answer 9

Ok thanks, so what would the general formulas be then?

Answer 10

general form for sin 2theta = -sqrt 3/2 ?
npi + 2pi/3
and npi -pi/6

Answer 11

and would there be any other ones that satisfy the original?

Answer 12

like any other values ?

Answer 13

no, only these 2 ...

Answer 14

what you got for 2 ?

Answer 15

2pi/3, 3pi/2 and pi/2

Answer 16

it's on the other attachment.

Answer 17

there will be one more value, right ?

Answer 18

wait, the interval is o to pi only

Answer 19

so, 3pi/2 won't work

Answer 20

Okay. Are there any other values? and what are the general forms?

Answer 21

only pi/2 and 2pi/3

Answer 22

npi-pi/2
2pi*n - 2pi/3
2pi*n +2pi/3

Answer 23

Okay and what about the last one? My teacher said there were 8 values, I only listed 4 and I don't even know if they're right :/

Answer 24

If you have to go I understand. You said 10 minutes it's been 20. :s

Answer 25

no problem,

tan 3x = 0 means, 0 will also work, right ?

Answer 26

kok, i see you have mentioned it...

Answer 27

and i don't think there are 8 values, there's only 4...

Answer 28

Okay, well I guess she was wrong. So the other value is 0?

Answer 29

oh, wait...
3x = 0, pi, 2pi, 3pi, 4p, 5pi
all these would work
because x has range [0,2pi)

Answer 30

so 3x can have [0,6pi)
got this ?

Answer 31

yes

Answer 32

so, your teacher is correct :)
6 values here and other 2 u mentioned...

Answer 33

The other 2 I mentioned 5pi/4 and pi/4??

Answer 34

Can you help with the general formulae for this one also please?

Answer 35

yes,
and yes
x= n*pi
n*pi-3pi/4
n*pi-2pi/3
n*pi-4pi/3

Answer 36

THANK YOU SO MUCH!!! Have a good night :)

Answer 37

welcome ^_
^its noon here, but thanks, you too have a great time :)

Answer 38

** ^_^