Question

Find all solutions to the equation.

7 sin^2x - 14 sin x + 2 = -5

Answer 1

let sin x = x

Answer 2

again consider sin^2x= y and solve for y

Answer 3

just treat it as a quadratic equation...

Answer 4

when sin x = x then u get
7x^2-14x +7 = 0

Answer 5

I'm pretty sure there is 4 solutions

Answer 6

2sinxcosx=-2^1/2cosx
cosx=0
x=90 & 270degrees
sinx=-2^2/2
x=-45,+45degrees

Answer 7

yes there are four solution for this

Answer 8

then from here i guess u should know how to factorize and solve for x rite? if u dont know then.. here is the solution..
7(x^2-2x+1) = 0

Answer 9

(x-1)(x-1) = 0 x = 1... so sin x = 1
when is sin x = 1? when x = pi/2

Answer 10

and the nxt solution is pi/2 + 2pi

Answer 11

3pi/2

Answer 12

yeap..

Answer 13

5pi/2?

Answer 14

yeap

Answer 15

eh wait.. 3pi on 2 is not

Answer 16

3pi/2 is 270 degrees it will give u sin x = -1 not 1

Answer 17

wait so what are the four factors?

Answer 18

sorry 2kpi +pi/2

Answer 19

(2n*pi)+pi/2

Answer 20

@babydoll332 four factors?

Answer 21

just kidding so all i can do is say (2n*pi)+pi/2

Answer 22

yes,but you must put,that n lies in integers

Answer 23

which means?

Answer 24

n= 1,2,3...

Answer 25

ohh ok

Answer 26

also 0

Answer 27

n=...,-1,0,1.....

Answer 28

negative too

Answer 29

thanks for helping me everyone :)