Question

2 sin^2 theta= sin theta.
Find 4 solutions please!

Answer 1

first write it as
2 sin^2 theta - sin theta = 0

now factor left hand side

Answer 2

Not sure how this would factor out

Answer 3

sin theta is common to both terms so take it out and put the rest in parentheses

Answer 4

so it would be 2sin theta(sin theta- sin theta)?

Answer 5

no
its sin theta(2 sin theta - 1 ) = 0

Answer 6

you divide 2 sin theta - sin theta by sin theta and the result goes into the parentheses

Answer 7

now when the product of 2 functions = 0
either one of them must = 0

so you have to solve the following 2 equations

sin theta = 0
and
2 sin theta - 1 = 0

Answer 8

I get how to solve it now but I am just a little confused on how you came up with the 2 equations from that one equation

Answer 9

consider a simpler example

x(x - 2) = 0

x times (x - 2) = 0

for the result to be zero either x = 0 or (x - 2) = 0

Answer 10

any number times zero equals zero

Answer 11

Spot on. Perfect explanation! thank you for the help!

Answer 12

yw