1 + 4sin[A](3sin[A] - 4) = cosec[A](cosec[A]-4)

Find the possible values of sin[A]

I tried writing as a quartic equation but I couldn't factorise it and I am now totally void of ideas. Could someone point me in the right direction?

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- December 28th 2012, 03:36 PMkinhew93Trig Equation
1 + 4sin[A](3sin[A] - 4) = cosec[A](cosec[A]-4)

Find the possible values of sin[A]

I tried writing as a quartic equation but I couldn't factorise it and I am now totally void of ideas. Could someone point me in the right direction? - December 28th 2012, 03:52 PMPlatoRe: Trig Equation
- December 28th 2012, 05:57 PMSorobanRe: Trig Equation
Hello, kinhew93!

Quote:

. . .

We have: . . . . .

n . . . . . . . . . . .

n . . . . . . . .

Factor: .

Therefore: .