Question

7 sin2x - 14 sin x + 2 = -5
find all solutions

Answer 1

cosx=-1

Answer 2

thats not even english to me.

Answer 3

ok

Answer 4

@hartnn

Answer 5

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°

Answer 6

would it be that?

Answer 7

is it sin2x or \(sin^2 x\) ??

Answer 8

sin squared x

Answer 9

then sin x=1 is correct.
but do u need solutions in the range of 0 to 180 only or all solutions ?

Answer 10

no idea. the question say find all solutions to the equation

Answer 11

because sin (360+90) also =1

Answer 12

yes, all solutions means u don't have only 1 solution, u have infinite

Answer 13

alright

Answer 14

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,....`

Answer 15

got that ^ ?

Answer 16

yeah. is that the answer

Answer 17

yes.

Answer 18

you sure. i can wrrite that & ill be correct?

Answer 19

if i wrote exactly what you just put down ill be correct?

Answer 20

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,..

Answer 21

Whats The Range ? I think It Would Be 0 to 180

Answer 22

thanks