Question

Solve cos^2(w)=-8sin(w) for all solutions 0 <= w < 2pi

Give your answers accurate to 2 decimal places, as a list separated by commas

Answer 1

cos^2 = 1 - sin^2

Answer 2

sin^2-8sin-1

Answer 3

i used the qudratic formula and got sin(w) = 8+-sqrt(68)/2

Answer 4

arcsin both sides and got w=-0.1234187

Answer 5

yes then take inverse sin of both answers

Answer 6

only 8-sqrt(68)/2 is in the domain right?

Answer 7

which is -.1234187 after you take inverse sin

Answer 8

oh shoot yeah you are right

Answer 9

so im having trouble finding the rest of the solutions

Answer 10

the 2nd one i found is 2pi - -0.1234187 = 6.15976

Answer 11

ok there are 2 angles which satisfy
\[\sin w = \frac{8 -\sqrt{68}}{2}\]