Question

Solve the given equation by factoring.
2 sin^2 theta + 5 sin(theta) - 12 = 0

Answer 1

i got \[\pm \sqrt{6}/2 ]
and -4

Answer 2

\[\pm \sqrt{6}/2\]
and -4

but what is the theta answers?

Answer 3

let x = sin θ
2x² + 5x - 12 = 0
Using tic tac toe method to factor,
2x²|-12|-24x²
2x | 4|8x
x | -3|-3x
(2x - 3)(x + 4) = 0

Zero product property and plug back in. You can take it from there. Look up inverse trig functions if you dunno what to do.

Answer 4

thetacant be solved for in this equation its basically just "x"

Answer 5

i need to find all the values adding 2kpi to the answer

Answer 6

there are no solutions to this equation as -1< sin < 1