How Do I Solve -0.874 = sin2θ in Physics?

[twenty5]

BLAHH! I can't figure this one out!

how do I isolate θ??

Statement is...

-0.874 = sin2θ


jeeebuss can someone walk me through LOL! I need it to finish off a 4 hour physics question =/

 

[tiny-tim]

Hi twenty5!

walk this way … if x = sinθ, then θ = sin^-1x (or arcsin x)

 

[twenty5]

Hi twenty5!

walk this way … if x = sinθ, then θ = sin^-1x (or arcsin x)

so, if -0.874 = sin2θ

then...
sin^-1(-0.874) = 2θ

then...

(sin^-1(-0.874))/2 = θ?

 

[tiny-tim]

so, if -0.874 = sin2θ

then...
sin^-1(-0.874) = 2θ

then...

(sin^-1(-0.874))/2 = θ?

Yes, except …

i] it's normal to have only positive numbers inside the sin^-1

ii] you didn't say what the range of θ was … did they specify 0 < θ < π or 2π or what? … there may be several solutions, especially since you're divding the angle by 2

 

[twenty5]

Yes, except …

i] it's normal to have only positive numbers inside the sin^-1

ii] you didn't say what the range of θ was … did they specify 0 < θ < π or 2π or what? … there may be several solutions, especially since you're divding the angle by 2

hmm not sure because I'm using this to do this... https://www.physicsforums.com/showthread.php?t=293717

the very final post should be mine =P

right, since the football player is kicking the ball above ground on a horizontal plane (straight field), and he is kicking it forward to a distance other than where he is standing, it has to be somewhere between 0^o and 89^o

so, the answer I ended up with was -30.46^o... so would that mean it is... wrong? LOL! omg... can't believe I spent 4 -5 hours to end up with a wrong answer -__- so depressing..

 

[tiny-tim]

hmm … your minus sign seems to have come in post #18, but you don't show how you got it …

yes, you need an answer between 0 and 90º, but your formula should give you two such answers.

and I'm going to bed now … :zzz:​