logynklode
7 sin2x - 14 sin x + 2 = -5
find all solutions
Delete
Share
This Question is Closed
rvgupta
Best Response
You've already chosen the best response.
0
cosx=-1
logynklode
Best Response
You've already chosen the best response.
0
thats not even english to me.
rvgupta
Best Response
You've already chosen the best response.
0
ok
hba
Best Response
You've already chosen the best response.
0
@hartnn
logynklode
Best Response
You've already chosen the best response.
0
7sin²(x) - 14sin(x) + 2 = -5
7sin²(x) - 14sin(x) + 7 = 0
7(sin²(x) - 2sin(x) + 1) = 0
sin²(x) - 2sin(x) + 1 = 0
(sin(x) - 1)² = 0
sin(x) - 1 = 0
sin(x) = 1
x = 90°
logynklode
Best Response
You've already chosen the best response.
0
would it be that?
hartnn
Best Response
You've already chosen the best response.
0
is it sin2x or \(sin^2 x\) ??
logynklode
Best Response
You've already chosen the best response.
0
sin squared x
hartnn
Best Response
You've already chosen the best response.
0
then sin x=1 is correct.
but do u need solutions in the range of 0 to 180 only or all solutions ?
logynklode
Best Response
You've already chosen the best response.
0
no idea. the question say find all solutions to the equation
hartnn
Best Response
You've already chosen the best response.
0
because sin (360+90) also =1
hartnn
Best Response
You've already chosen the best response.
0
yes, all solutions means u don't have only 1 solution, u have infinite
logynklode
Best Response
You've already chosen the best response.
0
alright
hartnn
Best Response
You've already chosen the best response.
0
sin(x)=1
sin x = sin (90+360n) (n=1,2,3,....)
so
x= 90+360n
are all the values of x with n=1,2,3,....`
hartnn
Best Response
You've already chosen the best response.
0
got that ^ ?
logynklode
Best Response
You've already chosen the best response.
0
yeah. is that the answer
hartnn
Best Response
You've already chosen the best response.
0
yes.
logynklode
Best Response
You've already chosen the best response.
0
you sure. i can wrrite that & ill be correct?
logynklode
Best Response
You've already chosen the best response.
0
if i wrote exactly what you just put down ill be correct?
hartnn
Best Response
You've already chosen the best response.
0
idk how your teacher / system demands the answer, but any of these 2 answers are complete and correct:
1) x= 90+360n , n=1,2,3,.....
2) x=90,450,810,..
hba
Best Response
You've already chosen the best response.
0
Whats The Range ? I think It Would Be 0 to 180
logynklode
Best Response
You've already chosen the best response.
0
thanks